What is the Least Common Multiple of 72865 and 72876?

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 72865 and 72876 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72865 and 72876, than apply into the LCM equation.

GCF(72865,72876) = 1
LCM(72865,72876) = ( 72865 × 72876) / 1
LCM(72865,72876) = 5310109740 / 1
LCM(72865,72876) = 5310109740

Least Common Multiple (LCM) of 72865 and 72876 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72865 and 72876. First we will calculate the prime factors of 72865 and 72876.

Prime Factorization of 72865

Prime Factorization of 72876

Now multiplying the highest exponent prime factors to calculate the LCM of 72865 and 72876.

LCM(72865,72876) = 5¹ × 13¹ × 19¹ × 59¹ × 2² × 3¹ × 6073¹
LCM(72865,72876) = 5310109740