What is the Least Common Multiple of 72975 and 72988?

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 72975 and 72988 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72975 and 72988, than apply into the LCM equation.

GCF(72975,72988) = 1
LCM(72975,72988) = ( 72975 × 72988) / 1
LCM(72975,72988) = 5326299300 / 1
LCM(72975,72988) = 5326299300

Least Common Multiple (LCM) of 72975 and 72988 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72975 and 72988. First we will calculate the prime factors of 72975 and 72988.

Prime Factorization of 72975

Prime Factorization of 72988

Now multiplying the highest exponent prime factors to calculate the LCM of 72975 and 72988.

LCM(72975,72988) = 3¹ × 5² × 7¹ × 139¹ × 2² × 71¹ × 257¹
LCM(72975,72988) = 5326299300