What is the Least Common Multiple of 21918 and 21931?

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 21918 and 21931 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21918 and 21931, than apply into the LCM equation.

GCF(21918,21931) = 13
LCM(21918,21931) = ( 21918 × 21931) / 13
LCM(21918,21931) = 480683658 / 13
LCM(21918,21931) = 36975666

Least Common Multiple (LCM) of 21918 and 21931 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21918 and 21931. First we will calculate the prime factors of 21918 and 21931.

Prime Factorization of 21918

Prime Factorization of 21931

Now multiplying the highest exponent prime factors to calculate the LCM of 21918 and 21931.

LCM(21918,21931) = 2¹ × 3¹ × 13¹ × 281¹ × 7¹ × 241¹
LCM(21918,21931) = 36975666