What is the Least Common Multiple of 64920 and 64935?

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 64935 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 64935, than apply into the LCM equation.

GCF(64920,64935) = 15
LCM(64920,64935) = ( 64920 × 64935) / 15
LCM(64920,64935) = 4215580200 / 15
LCM(64920,64935) = 281038680

Least Common Multiple (LCM) of 64920 and 64935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64920 and 64935. First we will calculate the prime factors of 64920 and 64935.

Prime Factorization of 64920

Prime Factorization of 64935

Now multiplying the highest exponent prime factors to calculate the LCM of 64920 and 64935.

LCM(64920,64935) = 2³ × 3³ × 5¹ × 541¹ × 13¹ × 37¹
LCM(64920,64935) = 281038680