What is the Least Common Multiple of 21450 and 21460?

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 21450 and 21460 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21450 and 21460, than apply into the LCM equation.

GCF(21450,21460) = 10
LCM(21450,21460) = ( 21450 × 21460) / 10
LCM(21450,21460) = 460317000 / 10
LCM(21450,21460) = 46031700

Least Common Multiple (LCM) of 21450 and 21460 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21450 and 21460. First we will calculate the prime factors of 21450 and 21460.

Prime Factorization of 21450

Prime Factorization of 21460

Now multiplying the highest exponent prime factors to calculate the LCM of 21450 and 21460.

LCM(21450,21460) = 2² × 3¹ × 5² × 11¹ × 13¹ × 29¹ × 37¹
LCM(21450,21460) = 46031700