What is the Least Common Multiple of 79764 and 79768?

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 79764 and 79768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79764 and 79768, than apply into the LCM equation.

GCF(79764,79768) = 4
LCM(79764,79768) = ( 79764 × 79768) / 4
LCM(79764,79768) = 6362614752 / 4
LCM(79764,79768) = 1590653688

Least Common Multiple (LCM) of 79764 and 79768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79764 and 79768. First we will calculate the prime factors of 79764 and 79768.

Prime Factorization of 79764

Prime Factorization of 79768

Now multiplying the highest exponent prime factors to calculate the LCM of 79764 and 79768.

LCM(79764,79768) = 2³ × 3¹ × 17² × 23¹ × 13² × 59¹
LCM(79764,79768) = 1590653688