What is the Least Common Multiple of 20451 and 20466?

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 20451 and 20466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20451 and 20466, than apply into the LCM equation.

GCF(20451,20466) = 3
LCM(20451,20466) = ( 20451 × 20466) / 3
LCM(20451,20466) = 418550166 / 3
LCM(20451,20466) = 139516722

Least Common Multiple (LCM) of 20451 and 20466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20451 and 20466. First we will calculate the prime factors of 20451 and 20466.

Prime Factorization of 20451

Prime Factorization of 20466

Now multiplying the highest exponent prime factors to calculate the LCM of 20451 and 20466.

LCM(20451,20466) = 3³ × 17¹ × 401¹ × 2¹ × 379¹
LCM(20451,20466) = 139516722