What is the Least Common Multiple of 61696 and 61704?

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 61696 and 61704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61696 and 61704, than apply into the LCM equation.

GCF(61696,61704) = 8
LCM(61696,61704) = ( 61696 × 61704) / 8
LCM(61696,61704) = 3806889984 / 8
LCM(61696,61704) = 475861248

Least Common Multiple (LCM) of 61696 and 61704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61696 and 61704. First we will calculate the prime factors of 61696 and 61704.

Prime Factorization of 61696

Prime Factorization of 61704

Now multiplying the highest exponent prime factors to calculate the LCM of 61696 and 61704.

LCM(61696,61704) = 2⁸ × 241¹ × 3² × 857¹
LCM(61696,61704) = 475861248