What is the Least Common Multiple of 79312 and 79325?

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 79325 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 79325, than apply into the LCM equation.

GCF(79312,79325) = 1
LCM(79312,79325) = ( 79312 × 79325) / 1
LCM(79312,79325) = 6291424400 / 1
LCM(79312,79325) = 6291424400

Least Common Multiple (LCM) of 79312 and 79325 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79312 and 79325. First we will calculate the prime factors of 79312 and 79325.

Prime Factorization of 79312

Prime Factorization of 79325

Now multiplying the highest exponent prime factors to calculate the LCM of 79312 and 79325.

LCM(79312,79325) = 2⁴ × 4957¹ × 5² × 19¹ × 167¹
LCM(79312,79325) = 6291424400