What is the Least Common Multiple of 21119 and 21134?

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 21119 and 21134 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21119 and 21134, than apply into the LCM equation.

GCF(21119,21134) = 1
LCM(21119,21134) = ( 21119 × 21134) / 1
LCM(21119,21134) = 446328946 / 1
LCM(21119,21134) = 446328946

Least Common Multiple (LCM) of 21119 and 21134 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21119 and 21134. First we will calculate the prime factors of 21119 and 21134.

Prime Factorization of 21119

Prime Factorization of 21134

Now multiplying the highest exponent prime factors to calculate the LCM of 21119 and 21134.

LCM(21119,21134) = 7² × 431¹ × 2¹ × 10567¹
LCM(21119,21134) = 446328946