What is the Least Common Multiple of 79072 and 79078?

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 79078 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 79078, than apply into the LCM equation.

GCF(79072,79078) = 2
LCM(79072,79078) = ( 79072 × 79078) / 2
LCM(79072,79078) = 6252855616 / 2
LCM(79072,79078) = 3126427808

Least Common Multiple (LCM) of 79072 and 79078 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79072 and 79078. First we will calculate the prime factors of 79072 and 79078.

Prime Factorization of 79072

Prime Factorization of 79078

Now multiplying the highest exponent prime factors to calculate the LCM of 79072 and 79078.

LCM(79072,79078) = 2⁵ × 7¹ × 353¹ × 19¹ × 2081¹
LCM(79072,79078) = 3126427808