What is the Least Common Multiple of 51690 and 51710?

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 51690 and 51710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51690 and 51710, than apply into the LCM equation.

GCF(51690,51710) = 10
LCM(51690,51710) = ( 51690 × 51710) / 10
LCM(51690,51710) = 2672889900 / 10
LCM(51690,51710) = 267288990

Least Common Multiple (LCM) of 51690 and 51710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51690 and 51710. First we will calculate the prime factors of 51690 and 51710.

Prime Factorization of 51690

Prime Factorization of 51710

Now multiplying the highest exponent prime factors to calculate the LCM of 51690 and 51710.

LCM(51690,51710) = 2¹ × 3¹ × 5¹ × 1723¹ × 5171¹
LCM(51690,51710) = 267288990