What is the Least Common Multiple of 72855 and 72872?

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 72855 and 72872 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72855 and 72872, than apply into the LCM equation.

GCF(72855,72872) = 1
LCM(72855,72872) = ( 72855 × 72872) / 1
LCM(72855,72872) = 5309089560 / 1
LCM(72855,72872) = 5309089560

Least Common Multiple (LCM) of 72855 and 72872 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72855 and 72872. First we will calculate the prime factors of 72855 and 72872.

Prime Factorization of 72855

Prime Factorization of 72872

Now multiplying the highest exponent prime factors to calculate the LCM of 72855 and 72872.

LCM(72855,72872) = 3² × 5¹ × 1619¹ × 2³ × 9109¹
LCM(72855,72872) = 5309089560