What is the Least Common Multiple of 61704 and 61710?

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 61704 and 61710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61704 and 61710, than apply into the LCM equation.

GCF(61704,61710) = 6
LCM(61704,61710) = ( 61704 × 61710) / 6
LCM(61704,61710) = 3807753840 / 6
LCM(61704,61710) = 634625640

Least Common Multiple (LCM) of 61704 and 61710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61704 and 61710. First we will calculate the prime factors of 61704 and 61710.

Prime Factorization of 61704

Prime Factorization of 61710

Now multiplying the highest exponent prime factors to calculate the LCM of 61704 and 61710.

LCM(61704,61710) = 2³ × 3² × 857¹ × 5¹ × 11² × 17¹
LCM(61704,61710) = 634625640