What is the Least Common Multiple of 76628 and 76641?

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 76628 and 76641 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76628 and 76641, than apply into the LCM equation.

GCF(76628,76641) = 1
LCM(76628,76641) = ( 76628 × 76641) / 1
LCM(76628,76641) = 5872846548 / 1
LCM(76628,76641) = 5872846548

Least Common Multiple (LCM) of 76628 and 76641 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76628 and 76641. First we will calculate the prime factors of 76628 and 76641.

Prime Factorization of 76628

Prime Factorization of 76641

Now multiplying the highest exponent prime factors to calculate the LCM of 76628 and 76641.

LCM(76628,76641) = 2² × 19157¹ × 3¹ × 59¹ × 433¹
LCM(76628,76641) = 5872846548