What is the Least Common Multiple of 76712 and 76728?

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 76712 and 76728 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76712 and 76728, than apply into the LCM equation.

GCF(76712,76728) = 8
LCM(76712,76728) = ( 76712 × 76728) / 8
LCM(76712,76728) = 5885958336 / 8
LCM(76712,76728) = 735744792

Least Common Multiple (LCM) of 76712 and 76728 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76712 and 76728. First we will calculate the prime factors of 76712 and 76728.

Prime Factorization of 76712

Prime Factorization of 76728

Now multiplying the highest exponent prime factors to calculate the LCM of 76712 and 76728.

LCM(76712,76728) = 2³ × 43¹ × 223¹ × 3¹ × 23¹ × 139¹
LCM(76712,76728) = 735744792