What is the Least Common Multiple of 61710 and 61722?

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 61722 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 61722, than apply into the LCM equation.

GCF(61710,61722) = 6
LCM(61710,61722) = ( 61710 × 61722) / 6
LCM(61710,61722) = 3808864620 / 6
LCM(61710,61722) = 634810770

Least Common Multiple (LCM) of 61710 and 61722 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 61710 and 61722. First we will calculate the prime factors of 61710 and 61722.

Prime Factorization of 61710

Prime Factorization of 61722

Now multiplying the highest exponent prime factors to calculate the LCM of 61710 and 61722.

LCM(61710,61722) = 2¹ × 3⁵ × 5¹ × 11² × 17¹ × 127¹
LCM(61710,61722) = 634810770