What is the Least Common Multiple of 76678 and 76688?

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 76678 and 76688 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76678 and 76688, than apply into the LCM equation.

GCF(76678,76688) = 2
LCM(76678,76688) = ( 76678 × 76688) / 2
LCM(76678,76688) = 5880282464 / 2
LCM(76678,76688) = 2940141232

Least Common Multiple (LCM) of 76678 and 76688 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76678 and 76688. First we will calculate the prime factors of 76678 and 76688.

Prime Factorization of 76678

Prime Factorization of 76688

Now multiplying the highest exponent prime factors to calculate the LCM of 76678 and 76688.

LCM(76678,76688) = 2⁴ × 7¹ × 5477¹ × 4793¹
LCM(76678,76688) = 2940141232