What is the Least Common Multiple of 79072 and 79089?

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 79072 and 79089 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79072 and 79089, than apply into the LCM equation.

GCF(79072,79089) = 1
LCM(79072,79089) = ( 79072 × 79089) / 1
LCM(79072,79089) = 6253725408 / 1
LCM(79072,79089) = 6253725408

Least Common Multiple (LCM) of 79072 and 79089 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79072 and 79089. First we will calculate the prime factors of 79072 and 79089.

Prime Factorization of 79072

Prime Factorization of 79089

Now multiplying the highest exponent prime factors to calculate the LCM of 79072 and 79089.

LCM(79072,79089) = 2⁵ × 7¹ × 353¹ × 3¹ × 41¹ × 643¹
LCM(79072,79089) = 6253725408