What is the Least Common Multiple of 76584 and 76588?

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 76584 and 76588 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76584 and 76588, than apply into the LCM equation.

GCF(76584,76588) = 4
LCM(76584,76588) = ( 76584 × 76588) / 4
LCM(76584,76588) = 5865415392 / 4
LCM(76584,76588) = 1466353848

Least Common Multiple (LCM) of 76584 and 76588 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76584 and 76588. First we will calculate the prime factors of 76584 and 76588.

Prime Factorization of 76584

Prime Factorization of 76588

Now multiplying the highest exponent prime factors to calculate the LCM of 76584 and 76588.

LCM(76584,76588) = 2³ × 3¹ × 3191¹ × 41¹ × 467¹
LCM(76584,76588) = 1466353848