What is the Least Common Multiple of 64920 and 64933?

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 64920 and 64933 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64920 and 64933, than apply into the LCM equation.

GCF(64920,64933) = 1
LCM(64920,64933) = ( 64920 × 64933) / 1
LCM(64920,64933) = 4215450360 / 1
LCM(64920,64933) = 4215450360

Least Common Multiple (LCM) of 64920 and 64933 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64920 and 64933. First we will calculate the prime factors of 64920 and 64933.

Prime Factorization of 64920

Prime Factorization of 64933

Now multiplying the highest exponent prime factors to calculate the LCM of 64920 and 64933.

LCM(64920,64933) = 2³ × 3¹ × 5¹ × 541¹ × 11¹ × 5903¹
LCM(64920,64933) = 4215450360