What is the Least Common Multiple of 72492 and 72497?

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 72497 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 72497, than apply into the LCM equation.

GCF(72492,72497) = 1
LCM(72492,72497) = ( 72492 × 72497) / 1
LCM(72492,72497) = 5255452524 / 1
LCM(72492,72497) = 5255452524

Least Common Multiple (LCM) of 72492 and 72497 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72492 and 72497. First we will calculate the prime factors of 72492 and 72497.

Prime Factorization of 72492

Prime Factorization of 72497

Now multiplying the highest exponent prime factors to calculate the LCM of 72492 and 72497.

LCM(72492,72497) = 2² × 3¹ × 7¹ × 863¹ × 72497¹
LCM(72492,72497) = 5255452524