What is the Least Common Multiple of 64060 and 64068?

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 64060 and 64068 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64060 and 64068, than apply into the LCM equation.

GCF(64060,64068) = 4
LCM(64060,64068) = ( 64060 × 64068) / 4
LCM(64060,64068) = 4104196080 / 4
LCM(64060,64068) = 1026049020

Least Common Multiple (LCM) of 64060 and 64068 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64060 and 64068. First we will calculate the prime factors of 64060 and 64068.

Prime Factorization of 64060

Prime Factorization of 64068

Now multiplying the highest exponent prime factors to calculate the LCM of 64060 and 64068.

LCM(64060,64068) = 2² × 5¹ × 3203¹ × 3¹ × 19¹ × 281¹
LCM(64060,64068) = 1026049020