What is the Least Common Multiple of 76644 and 76656?

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 76644 and 76656 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 76644 and 76656, than apply into the LCM equation.

GCF(76644,76656) = 12
LCM(76644,76656) = ( 76644 × 76656) / 12
LCM(76644,76656) = 5875222464 / 12
LCM(76644,76656) = 489601872

Least Common Multiple (LCM) of 76644 and 76656 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 76644 and 76656. First we will calculate the prime factors of 76644 and 76656.

Prime Factorization of 76644

Prime Factorization of 76656

Now multiplying the highest exponent prime factors to calculate the LCM of 76644 and 76656.

LCM(76644,76656) = 2⁴ × 3² × 2129¹ × 1597¹
LCM(76644,76656) = 489601872