What is the Least Common Multiple of 21405 and 21422?

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 21405 and 21422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21405 and 21422, than apply into the LCM equation.

GCF(21405,21422) = 1
LCM(21405,21422) = ( 21405 × 21422) / 1
LCM(21405,21422) = 458537910 / 1
LCM(21405,21422) = 458537910

Least Common Multiple (LCM) of 21405 and 21422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21405 and 21422. First we will calculate the prime factors of 21405 and 21422.

Prime Factorization of 21405

Prime Factorization of 21422

Now multiplying the highest exponent prime factors to calculate the LCM of 21405 and 21422.

LCM(21405,21422) = 3¹ × 5¹ × 1427¹ × 2¹ × 10711¹
LCM(21405,21422) = 458537910