What is the Least Common Multiple of 72189 and 72204?

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 72189 and 72204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72189 and 72204, than apply into the LCM equation.

GCF(72189,72204) = 3
LCM(72189,72204) = ( 72189 × 72204) / 3
LCM(72189,72204) = 5212334556 / 3
LCM(72189,72204) = 1737444852

Least Common Multiple (LCM) of 72189 and 72204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72189 and 72204. First we will calculate the prime factors of 72189 and 72204.

Prime Factorization of 72189

Prime Factorization of 72204

Now multiplying the highest exponent prime factors to calculate the LCM of 72189 and 72204.

LCM(72189,72204) = 3² × 13¹ × 617¹ × 2² × 11¹ × 547¹
LCM(72189,72204) = 1737444852