What is the Least Common Multiple of 79024 and 79038?

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 79038 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 79038, than apply into the LCM equation.

GCF(79024,79038) = 2
LCM(79024,79038) = ( 79024 × 79038) / 2
LCM(79024,79038) = 6245898912 / 2
LCM(79024,79038) = 3122949456

Least Common Multiple (LCM) of 79024 and 79038 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 79024 and 79038. First we will calculate the prime factors of 79024 and 79038.

Prime Factorization of 79024

Prime Factorization of 79038

Now multiplying the highest exponent prime factors to calculate the LCM of 79024 and 79038.

LCM(79024,79038) = 2⁴ × 11¹ × 449¹ × 3² × 4391¹
LCM(79024,79038) = 3122949456