What is the Least Common Multiple of 79024 and 79031?

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 79024 and 79031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 79024 and 79031, than apply into the LCM equation.

GCF(79024,79031) = 1
LCM(79024,79031) = ( 79024 × 79031) / 1
LCM(79024,79031) = 6245345744 / 1
LCM(79024,79031) = 6245345744

Least Common Multiple (LCM) of 79024 and 79031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79024 and 79031. First we will calculate the prime factors of 79024 and 79031.

Prime Factorization of 79024

Prime Factorization of 79031

Now multiplying the highest exponent prime factors to calculate the LCM of 79024 and 79031.

LCM(79024,79031) = 2⁴ × 11¹ × 449¹ × 79031¹
LCM(79024,79031) = 6245345744