What is the Least Common Multiple of 72975 and 72984?

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 72984 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 72984, than apply into the LCM equation.

GCF(72975,72984) = 3
LCM(72975,72984) = ( 72975 × 72984) / 3
LCM(72975,72984) = 5326007400 / 3
LCM(72975,72984) = 1775335800

Least Common Multiple (LCM) of 72975 and 72984 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72975 and 72984. First we will calculate the prime factors of 72975 and 72984.

Prime Factorization of 72975

Prime Factorization of 72984

Now multiplying the highest exponent prime factors to calculate the LCM of 72975 and 72984.

LCM(72975,72984) = 3¹ × 5² × 7¹ × 139¹ × 2³ × 3041¹
LCM(72975,72984) = 1775335800