What is the Least Common Multiple of 20459 and 20476?

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 20459 and 20476 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20459 and 20476, than apply into the LCM equation.

GCF(20459,20476) = 1
LCM(20459,20476) = ( 20459 × 20476) / 1
LCM(20459,20476) = 418918484 / 1
LCM(20459,20476) = 418918484

Least Common Multiple (LCM) of 20459 and 20476 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20459 and 20476. First we will calculate the prime factors of 20459 and 20476.

Prime Factorization of 20459

Prime Factorization of 20476

Now multiplying the highest exponent prime factors to calculate the LCM of 20459 and 20476.

LCM(20459,20476) = 41¹ × 499¹ × 2² × 5119¹
LCM(20459,20476) = 418918484