What is the Least Common Multiple of 21480 and 21493?

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 21480 and 21493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21480 and 21493, than apply into the LCM equation.

GCF(21480,21493) = 1
LCM(21480,21493) = ( 21480 × 21493) / 1
LCM(21480,21493) = 461669640 / 1
LCM(21480,21493) = 461669640

Least Common Multiple (LCM) of 21480 and 21493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21480 and 21493. First we will calculate the prime factors of 21480 and 21493.

Prime Factorization of 21480

Prime Factorization of 21493

Now multiplying the highest exponent prime factors to calculate the LCM of 21480 and 21493.

LCM(21480,21493) = 2³ × 3¹ × 5¹ × 179¹ × 21493¹
LCM(21480,21493) = 461669640