What is the Least Common Multiple of 91872 and 91889?

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 91872 and 91889 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91872 and 91889, than apply into the LCM equation.

GCF(91872,91889) = 1
LCM(91872,91889) = ( 91872 × 91889) / 1
LCM(91872,91889) = 8442026208 / 1
LCM(91872,91889) = 8442026208

Least Common Multiple (LCM) of 91872 and 91889 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91872 and 91889. First we will calculate the prime factors of 91872 and 91889.

Prime Factorization of 91872

Prime Factorization of 91889

Now multiplying the highest exponent prime factors to calculate the LCM of 91872 and 91889.

LCM(91872,91889) = 2⁵ × 3² × 11¹ × 29¹ × 7¹ × 13127¹
LCM(91872,91889) = 8442026208