LCM stands for-In arithmetic and number theory, the least common multiple, lowest common multiple, or smallest common multiple of two integers a and b, usually denoted by LCM(a, b), is the smallest positive integer that is divisible by both a and b. GCF stands for- The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4. GCF is often used to find common denominators. How are they alike? Well-How are GCF and LCM alike? ... The GCF of two numbers is the biggest number that has both of the two in its multiplication table. The LCM of two numbers is the smallest number that exists on the times table of both of the two. Each has a use in reducing the work needed to solve particular problems. How are they different well-Most likely the other multiple is shared between both numbers. ... The GCF is based upon what integer divides evenly into two numbers; the LCM is based upon what integer two numbers share in a list of multiples. 2. The GCF must be a prime number; the LCM must be a composite number. (HOPES THIS HELPS!!!!)