What is the Least Common Multiple of 20450 and 20458?

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 20450 and 20458 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20450 and 20458, than apply into the LCM equation.

GCF(20450,20458) = 2
LCM(20450,20458) = ( 20450 × 20458) / 2
LCM(20450,20458) = 418366100 / 2
LCM(20450,20458) = 209183050

Least Common Multiple (LCM) of 20450 and 20458 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20450 and 20458. First we will calculate the prime factors of 20450 and 20458.

Prime Factorization of 20450

Prime Factorization of 20458

Now multiplying the highest exponent prime factors to calculate the LCM of 20450 and 20458.

LCM(20450,20458) = 2¹ × 5² × 409¹ × 53¹ × 193¹
LCM(20450,20458) = 209183050