What is the Least Common Multiple of 52698 and 52710?

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 52698 and 52710 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52698 and 52710, than apply into the LCM equation.

GCF(52698,52710) = 6
LCM(52698,52710) = ( 52698 × 52710) / 6
LCM(52698,52710) = 2777711580 / 6
LCM(52698,52710) = 462951930

Least Common Multiple (LCM) of 52698 and 52710 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52698 and 52710. First we will calculate the prime factors of 52698 and 52710.

Prime Factorization of 52698

Prime Factorization of 52710

Now multiplying the highest exponent prime factors to calculate the LCM of 52698 and 52710.

LCM(52698,52710) = 2¹ × 3¹ × 8783¹ × 5¹ × 7¹ × 251¹
LCM(52698,52710) = 462951930