What is the Least Common Multiple of 20458 and 20477?

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 20458 and 20477 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20458 and 20477, than apply into the LCM equation.

GCF(20458,20477) = 1
LCM(20458,20477) = ( 20458 × 20477) / 1
LCM(20458,20477) = 418918466 / 1
LCM(20458,20477) = 418918466

Least Common Multiple (LCM) of 20458 and 20477 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20458 and 20477. First we will calculate the prime factors of 20458 and 20477.

Prime Factorization of 20458

Prime Factorization of 20477

Now multiplying the highest exponent prime factors to calculate the LCM of 20458 and 20477.

LCM(20458,20477) = 2¹ × 53¹ × 193¹ × 20477¹
LCM(20458,20477) = 418918466