What is the Least Common Multiple of 72891 and 72900?

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 72891 and 72900 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72891 and 72900, than apply into the LCM equation.

GCF(72891,72900) = 9
LCM(72891,72900) = ( 72891 × 72900) / 9
LCM(72891,72900) = 5313753900 / 9
LCM(72891,72900) = 590417100

Least Common Multiple (LCM) of 72891 and 72900 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72891 and 72900. First we will calculate the prime factors of 72891 and 72900.

Prime Factorization of 72891

Prime Factorization of 72900

Now multiplying the highest exponent prime factors to calculate the LCM of 72891 and 72900.

LCM(72891,72900) = 3⁶ × 7¹ × 13¹ × 89¹ × 2² × 5²
LCM(72891,72900) = 590417100