What is the Least Common Multiple of 64905 and 64920?

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 64905 and 64920 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64905 and 64920, than apply into the LCM equation.

GCF(64905,64920) = 15
LCM(64905,64920) = ( 64905 × 64920) / 15
LCM(64905,64920) = 4213632600 / 15
LCM(64905,64920) = 280908840

Least Common Multiple (LCM) of 64905 and 64920 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64905 and 64920. First we will calculate the prime factors of 64905 and 64920.

Prime Factorization of 64905

Prime Factorization of 64920

Now multiplying the highest exponent prime factors to calculate the LCM of 64905 and 64920.

LCM(64905,64920) = 3¹ × 5¹ × 4327¹ × 2³ × 541¹
LCM(64905,64920) = 280908840