What is the Least Common Multiple of 70492 and 70502?

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 70492 and 70502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 70492 and 70502, than apply into the LCM equation.

GCF(70492,70502) = 2
LCM(70492,70502) = ( 70492 × 70502) / 2
LCM(70492,70502) = 4969826984 / 2
LCM(70492,70502) = 2484913492

Least Common Multiple (LCM) of 70492 and 70502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 70492 and 70502. First we will calculate the prime factors of 70492 and 70502.

Prime Factorization of 70492

Prime Factorization of 70502

Now multiplying the highest exponent prime factors to calculate the LCM of 70492 and 70502.

LCM(70492,70502) = 2² × 17623¹ × 35251¹
LCM(70492,70502) = 2484913492