What is the Least Common Multiple of 72532 and 72541?

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 72532 and 72541 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72532 and 72541, than apply into the LCM equation.

GCF(72532,72541) = 1
LCM(72532,72541) = ( 72532 × 72541) / 1
LCM(72532,72541) = 5261543812 / 1
LCM(72532,72541) = 5261543812

Least Common Multiple (LCM) of 72532 and 72541 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72532 and 72541. First we will calculate the prime factors of 72532 and 72541.

Prime Factorization of 72532

Prime Factorization of 72541

Now multiplying the highest exponent prime factors to calculate the LCM of 72532 and 72541.

LCM(72532,72541) = 2² × 18133¹ × 7¹ × 43¹ × 241¹
LCM(72532,72541) = 5261543812