The least common multiple of 88 and 117 is 10,296.
Least common multiple is the smallest positive number that is a multiple of two or more numbers.
In this case, the least common multiple is the smallest positive number that is a multiple of 88 and 117.
88 x 117 = 10,296
There is also a proper way of finding the lcm of big numbers.
1) perform prime factorization
88 ÷ 2 = 44
44 ÷ 2 = 22
22 ÷ 2 = 11
11 ÷ 11 = 1 ⇒ 2³ * 11
117 ÷ 3 = 39
39 ÷ 3 = 13
13 ÷ 13 = 1 ⇒ 3² * 13
2) Prime factors of 88 = 2³ * 11
Prime factors of 117 = 3² * 13
3) Choose the common and uncommon prime factors with the greatest exponent.
common prime factors: NONE
common prime factors with greatest exponent: NONE
uncommon prime factors: 2, 11, 3, 13
uncommon prime factors with greatest exponent: 2², 11¹, 3², 13¹
4) calculate LCM.
2² * 11¹ * 3² * 13¹ = 10,296