What is the Least Common Multiple of 21460 and 21478?

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 21460 and 21478 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21460 and 21478, than apply into the LCM equation.

GCF(21460,21478) = 2
LCM(21460,21478) = ( 21460 × 21478) / 2
LCM(21460,21478) = 460917880 / 2
LCM(21460,21478) = 230458940

Least Common Multiple (LCM) of 21460 and 21478 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 21460 and 21478. First we will calculate the prime factors of 21460 and 21478.

Prime Factorization of 21460

Prime Factorization of 21478

Now multiplying the highest exponent prime factors to calculate the LCM of 21460 and 21478.

LCM(21460,21478) = 2² × 5¹ × 29¹ × 37¹ × 10739¹
LCM(21460,21478) = 230458940