What is the Least Common Multiple of 76688 and 76702?

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 76688 and 76702 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76688 and 76702, than apply into the LCM equation.

GCF(76688,76702) = 2
LCM(76688,76702) = ( 76688 × 76702) / 2
LCM(76688,76702) = 5882122976 / 2
LCM(76688,76702) = 2941061488

Least Common Multiple (LCM) of 76688 and 76702 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76688 and 76702. First we will calculate the prime factors of 76688 and 76702.

Prime Factorization of 76688

Prime Factorization of 76702

Now multiplying the highest exponent prime factors to calculate the LCM of 76688 and 76702.

LCM(76688,76702) = 2⁴ × 4793¹ × 38351¹
LCM(76688,76702) = 2941061488