What is the Least Common Multiple of 72492 and 72502?

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 72492 and 72502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72492 and 72502, than apply into the LCM equation.

GCF(72492,72502) = 2
LCM(72492,72502) = ( 72492 × 72502) / 2
LCM(72492,72502) = 5255814984 / 2
LCM(72492,72502) = 2627907492

Least Common Multiple (LCM) of 72492 and 72502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72492 and 72502. First we will calculate the prime factors of 72492 and 72502.

Prime Factorization of 72492

Prime Factorization of 72502

Now multiplying the highest exponent prime factors to calculate the LCM of 72492 and 72502.

LCM(72492,72502) = 2² × 3¹ × 7¹ × 863¹ × 36251¹
LCM(72492,72502) = 2627907492