What is the Least Common Multiple of 79360 and 79380?

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 79360 and 79380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79360 and 79380, than apply into the LCM equation.

GCF(79360,79380) = 20
LCM(79360,79380) = ( 79360 × 79380) / 20
LCM(79360,79380) = 6299596800 / 20
LCM(79360,79380) = 314979840

Least Common Multiple (LCM) of 79360 and 79380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79360 and 79380. First we will calculate the prime factors of 79360 and 79380.

Prime Factorization of 79360

Prime Factorization of 79380

Now multiplying the highest exponent prime factors to calculate the LCM of 79360 and 79380.

LCM(79360,79380) = 2⁹ × 5¹ × 31¹ × 3⁴ × 7²
LCM(79360,79380) = 314979840