What is the Least Common Multiple of 49872 and 49891?

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 49872 and 49891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 49872 and 49891, than apply into the LCM equation.

GCF(49872,49891) = 1
LCM(49872,49891) = ( 49872 × 49891) / 1
LCM(49872,49891) = 2488163952 / 1
LCM(49872,49891) = 2488163952

Least Common Multiple (LCM) of 49872 and 49891 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 49872 and 49891. First we will calculate the prime factors of 49872 and 49891.

Prime Factorization of 49872

Prime Factorization of 49891

Now multiplying the highest exponent prime factors to calculate the LCM of 49872 and 49891.

LCM(49872,49891) = 2⁴ × 3¹ × 1039¹ × 49891¹
LCM(49872,49891) = 2488163952