What is the Least Common Multiple of 18891 and 18907?

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 18891 and 18907 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 18891 and 18907, than apply into the LCM equation.

GCF(18891,18907) = 1
LCM(18891,18907) = ( 18891 × 18907) / 1
LCM(18891,18907) = 357172137 / 1
LCM(18891,18907) = 357172137

Least Common Multiple (LCM) of 18891 and 18907 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 18891 and 18907. First we will calculate the prime factors of 18891 and 18907.

Prime Factorization of 18891

Prime Factorization of 18907

Now multiplying the highest exponent prime factors to calculate the LCM of 18891 and 18907.

LCM(18891,18907) = 3² × 2099¹ × 7¹ × 37¹ × 73¹
LCM(18891,18907) = 357172137