What is the Least Common Multiple of 65138 and 65152?

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 65138 and 65152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65138 and 65152, than apply into the LCM equation.

GCF(65138,65152) = 2
LCM(65138,65152) = ( 65138 × 65152) / 2
LCM(65138,65152) = 4243870976 / 2
LCM(65138,65152) = 2121935488

Least Common Multiple (LCM) of 65138 and 65152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65138 and 65152. First we will calculate the prime factors of 65138 and 65152.

Prime Factorization of 65138

Prime Factorization of 65152

Now multiplying the highest exponent prime factors to calculate the LCM of 65138 and 65152.

LCM(65138,65152) = 2⁷ × 32569¹ × 509¹
LCM(65138,65152) = 2121935488