What is the Least Common Multiple of 79312 and 79320?

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 79312 and 79320 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79312 and 79320, than apply into the LCM equation.

GCF(79312,79320) = 8
LCM(79312,79320) = ( 79312 × 79320) / 8
LCM(79312,79320) = 6291027840 / 8
LCM(79312,79320) = 786378480

Least Common Multiple (LCM) of 79312 and 79320 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79312 and 79320. First we will calculate the prime factors of 79312 and 79320.

Prime Factorization of 79312

Prime Factorization of 79320

Now multiplying the highest exponent prime factors to calculate the LCM of 79312 and 79320.

LCM(79312,79320) = 2⁴ × 4957¹ × 3¹ × 5¹ × 661¹
LCM(79312,79320) = 786378480