What is the Least Common Multiple of 77138 and 77152?

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 77138 and 77152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 77138 and 77152, than apply into the LCM equation.

GCF(77138,77152) = 2
LCM(77138,77152) = ( 77138 × 77152) / 2
LCM(77138,77152) = 5951350976 / 2
LCM(77138,77152) = 2975675488

Least Common Multiple (LCM) of 77138 and 77152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 77138 and 77152. First we will calculate the prime factors of 77138 and 77152.

Prime Factorization of 77138

Prime Factorization of 77152

Now multiplying the highest exponent prime factors to calculate the LCM of 77138 and 77152.

LCM(77138,77152) = 2⁵ × 38569¹ × 2411¹
LCM(77138,77152) = 2975675488