What is the Least Common Multiple of 5408 and 5422?

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 5408 and 5422 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5408 and 5422, than apply into the LCM equation.

GCF(5408,5422) = 2
LCM(5408,5422) = ( 5408 × 5422) / 2
LCM(5408,5422) = 29322176 / 2
LCM(5408,5422) = 14661088

Least Common Multiple (LCM) of 5408 and 5422 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5408 and 5422. First we will calculate the prime factors of 5408 and 5422.

Prime Factorization of 5408

Prime Factorization of 5422

Now multiplying the highest exponent prime factors to calculate the LCM of 5408 and 5422.

LCM(5408,5422) = 2⁵ × 13² × 2711¹
LCM(5408,5422) = 14661088