What is the Least Common Multiple of 76350 and 76356?

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 76350 and 76356 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76350 and 76356, than apply into the LCM equation.

GCF(76350,76356) = 6
LCM(76350,76356) = ( 76350 × 76356) / 6
LCM(76350,76356) = 5829780600 / 6
LCM(76350,76356) = 971630100

Least Common Multiple (LCM) of 76350 and 76356 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76350 and 76356. First we will calculate the prime factors of 76350 and 76356.

Prime Factorization of 76350

Prime Factorization of 76356

Now multiplying the highest exponent prime factors to calculate the LCM of 76350 and 76356.

LCM(76350,76356) = 2² × 3³ × 5² × 509¹ × 7¹ × 101¹
LCM(76350,76356) = 971630100