What is the Least Common Multiple of 76708 and 76727?

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 76708 and 76727 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76708 and 76727, than apply into the LCM equation.

GCF(76708,76727) = 1
LCM(76708,76727) = ( 76708 × 76727) / 1
LCM(76708,76727) = 5885574716 / 1
LCM(76708,76727) = 5885574716

Least Common Multiple (LCM) of 76708 and 76727 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76708 and 76727. First we will calculate the prime factors of 76708 and 76727.

Prime Factorization of 76708

Prime Factorization of 76727

Now multiplying the highest exponent prime factors to calculate the LCM of 76708 and 76727.

LCM(76708,76727) = 2² × 127¹ × 151¹ × 7¹ × 97¹ × 113¹
LCM(76708,76727) = 5885574716