What is the Least Common Multiple of 64870 and 64876?

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 64870 and 64876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64870 and 64876, than apply into the LCM equation.

GCF(64870,64876) = 2
LCM(64870,64876) = ( 64870 × 64876) / 2
LCM(64870,64876) = 4208506120 / 2
LCM(64870,64876) = 2104253060

Least Common Multiple (LCM) of 64870 and 64876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64870 and 64876. First we will calculate the prime factors of 64870 and 64876.

Prime Factorization of 64870

Prime Factorization of 64876

Now multiplying the highest exponent prime factors to calculate the LCM of 64870 and 64876.

LCM(64870,64876) = 2² × 5¹ × 13¹ × 499¹ × 7² × 331¹
LCM(64870,64876) = 2104253060