What is the Least Common Multiple of 76350 and 76360?

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 76360 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 76360, than apply into the LCM equation.

GCF(76350,76360) = 10
LCM(76350,76360) = ( 76350 × 76360) / 10
LCM(76350,76360) = 5830086000 / 10
LCM(76350,76360) = 583008600

Least Common Multiple (LCM) of 76350 and 76360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76350 and 76360. First we will calculate the prime factors of 76350 and 76360.

Prime Factorization of 76350

Prime Factorization of 76360

Now multiplying the highest exponent prime factors to calculate the LCM of 76350 and 76360.

LCM(76350,76360) = 2³ × 3¹ × 5² × 509¹ × 23¹ × 83¹
LCM(76350,76360) = 583008600