What is the Least Common Multiple of 72888 and 72893?

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 72888 and 72893 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72888 and 72893, than apply into the LCM equation.

GCF(72888,72893) = 1
LCM(72888,72893) = ( 72888 × 72893) / 1
LCM(72888,72893) = 5313024984 / 1
LCM(72888,72893) = 5313024984

Least Common Multiple (LCM) of 72888 and 72893 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72888 and 72893. First we will calculate the prime factors of 72888 and 72893.

Prime Factorization of 72888

Prime Factorization of 72893

Now multiplying the highest exponent prime factors to calculate the LCM of 72888 and 72893.

LCM(72888,72893) = 2³ × 3¹ × 3037¹ × 72893¹
LCM(72888,72893) = 5313024984