What is the Least Common Multiple of 76578 and 76584?

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 76578 and 76584 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76578 and 76584, than apply into the LCM equation.

GCF(76578,76584) = 6
LCM(76578,76584) = ( 76578 × 76584) / 6
LCM(76578,76584) = 5864649552 / 6
LCM(76578,76584) = 977441592

Least Common Multiple (LCM) of 76578 and 76584 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76578 and 76584. First we will calculate the prime factors of 76578 and 76584.

Prime Factorization of 76578

Prime Factorization of 76584

Now multiplying the highest exponent prime factors to calculate the LCM of 76578 and 76584.

LCM(76578,76584) = 2³ × 3¹ × 12763¹ × 3191¹
LCM(76578,76584) = 977441592