What is the Least Common Multiple of 15405 and 15422?

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 15405 and 15422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 15405 and 15422, than apply into the LCM equation.

GCF(15405,15422) = 1
LCM(15405,15422) = ( 15405 × 15422) / 1
LCM(15405,15422) = 237575910 / 1
LCM(15405,15422) = 237575910

Least Common Multiple (LCM) of 15405 and 15422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 15405 and 15422. First we will calculate the prime factors of 15405 and 15422.

Prime Factorization of 15405

Prime Factorization of 15422

Now multiplying the highest exponent prime factors to calculate the LCM of 15405 and 15422.

LCM(15405,15422) = 3¹ × 5¹ × 13¹ × 79¹ × 2¹ × 11¹ × 701¹
LCM(15405,15422) = 237575910