What is the Least Common Multiple of 76920 and 76935?

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 76920 and 76935 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76920 and 76935, than apply into the LCM equation.

GCF(76920,76935) = 15
LCM(76920,76935) = ( 76920 × 76935) / 15
LCM(76920,76935) = 5917840200 / 15
LCM(76920,76935) = 394522680

Least Common Multiple (LCM) of 76920 and 76935 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76920 and 76935. First we will calculate the prime factors of 76920 and 76935.

Prime Factorization of 76920

Prime Factorization of 76935

Now multiplying the highest exponent prime factors to calculate the LCM of 76920 and 76935.

LCM(76920,76935) = 2³ × 3¹ × 5¹ × 641¹ × 23¹ × 223¹
LCM(76920,76935) = 394522680