Question

What is the LCM of 14 and 35?
a. 140
b. 70
c. 56
d. 7

Answer 1

Answer: 70

Step-by-step explanation: To find the least common multiple for the integers 14 and 35, we start by making a factor tree for each of the integers.

14 factors as 2 × 7 and 35 is 7 × 5. We are looking for the factors that match up.

In this case, both integers have a factor of 7.

When finding the LCM, we multiply all the factors together, but because the 7's match up, we only need to multiply by 7 once.

So we have 2 × 7 × 5 which is 70.

Therefore, the least common multiple for 14 and 35 is 70.

Answer 2

14: 14, 28, 42, 56, 70, 84, 98, 112, 126, 140, 154, 168, 182, 196, 210, 224,…
35: 35, 70, 105, 140, 175, 210, 245, 280, 315, 350, 385, 420, 455, 490, 525,…

LCM(14, 35) = 70

The answer is B.