What is the Least Common Multiple of 72854 and 72864?

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 72854 and 72864 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 72854 and 72864, than apply into the LCM equation.

GCF(72854,72864) = 2
LCM(72854,72864) = ( 72854 × 72864) / 2
LCM(72854,72864) = 5308433856 / 2
LCM(72854,72864) = 2654216928

Least Common Multiple (LCM) of 72854 and 72864 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 72854 and 72864. First we will calculate the prime factors of 72854 and 72864.

Prime Factorization of 72854

Prime Factorization of 72864

Now multiplying the highest exponent prime factors to calculate the LCM of 72854 and 72864.

LCM(72854,72864) = 2⁵ × 73¹ × 499¹ × 3² × 11¹ × 23¹
LCM(72854,72864) = 2654216928