What is the Least Common Multiple of 76728 and 76740?

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 76728 and 76740 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76728 and 76740, than apply into the LCM equation.

GCF(76728,76740) = 12
LCM(76728,76740) = ( 76728 × 76740) / 12
LCM(76728,76740) = 5888106720 / 12
LCM(76728,76740) = 490675560

Least Common Multiple (LCM) of 76728 and 76740 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76728 and 76740. First we will calculate the prime factors of 76728 and 76740.

Prime Factorization of 76728

Prime Factorization of 76740

Now multiplying the highest exponent prime factors to calculate the LCM of 76728 and 76740.

LCM(76728,76740) = 2³ × 3¹ × 23¹ × 139¹ × 5¹ × 1279¹
LCM(76728,76740) = 490675560