What is the Least Common Multiple of 76508 and 76512?

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 76508 and 76512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76508 and 76512, than apply into the LCM equation.

GCF(76508,76512) = 4
LCM(76508,76512) = ( 76508 × 76512) / 4
LCM(76508,76512) = 5853780096 / 4
LCM(76508,76512) = 1463445024

Least Common Multiple (LCM) of 76508 and 76512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76508 and 76512. First we will calculate the prime factors of 76508 and 76512.

Prime Factorization of 76508

Prime Factorization of 76512

Now multiplying the highest exponent prime factors to calculate the LCM of 76508 and 76512.

LCM(76508,76512) = 2⁵ × 31¹ × 617¹ × 3¹ × 797¹
LCM(76508,76512) = 1463445024