What is the Least Common Multiple of 76344 and 76352?

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 76344 and 76352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76344 and 76352, than apply into the LCM equation.

GCF(76344,76352) = 8
LCM(76344,76352) = ( 76344 × 76352) / 8
LCM(76344,76352) = 5829017088 / 8
LCM(76344,76352) = 728627136

Least Common Multiple (LCM) of 76344 and 76352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76344 and 76352. First we will calculate the prime factors of 76344 and 76352.

Prime Factorization of 76344

Prime Factorization of 76352

Now multiplying the highest exponent prime factors to calculate the LCM of 76344 and 76352.

LCM(76344,76352) = 2⁶ × 3¹ × 3181¹ × 1193¹
LCM(76344,76352) = 728627136