What is the Least Common Multiple of 65888 and 65908?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 65888 and 65908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65888 and 65908, than apply into the LCM equation.

GCF(65888,65908) = 4
LCM(65888,65908) = ( 65888 × 65908) / 4
LCM(65888,65908) = 4342546304 / 4
LCM(65888,65908) = 1085636576

Least Common Multiple (LCM) of 65888 and 65908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65888 and 65908. First we will calculate the prime factors of 65888 and 65908.

Prime Factorization of 65888

Prime Factorization of 65908

Now multiplying the highest exponent prime factors to calculate the LCM of 65888 and 65908.

LCM(65888,65908) = 2⁵ × 29¹ × 71¹ × 16477¹
LCM(65888,65908) = 1085636576