What is the Least Common Multiple of 61710 and 61728?

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 61710 and 61728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 61710 and 61728, than apply into the LCM equation.

GCF(61710,61728) = 6
LCM(61710,61728) = ( 61710 × 61728) / 6
LCM(61710,61728) = 3809234880 / 6
LCM(61710,61728) = 634872480

Least Common Multiple (LCM) of 61710 and 61728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61710 and 61728. First we will calculate the prime factors of 61710 and 61728.

Prime Factorization of 61710

Prime Factorization of 61728

Now multiplying the highest exponent prime factors to calculate the LCM of 61710 and 61728.

LCM(61710,61728) = 2⁵ × 3¹ × 5¹ × 11² × 17¹ × 643¹
LCM(61710,61728) = 634872480