What is the Least Common Multiple of 20474 and 20479?

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 20474 and 20479 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20474 and 20479, than apply into the LCM equation.

GCF(20474,20479) = 1
LCM(20474,20479) = ( 20474 × 20479) / 1
LCM(20474,20479) = 419287046 / 1
LCM(20474,20479) = 419287046

Least Common Multiple (LCM) of 20474 and 20479 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20474 and 20479. First we will calculate the prime factors of 20474 and 20479.

Prime Factorization of 20474

Prime Factorization of 20479

Now multiplying the highest exponent prime factors to calculate the LCM of 20474 and 20479.

LCM(20474,20479) = 2¹ × 29¹ × 353¹ × 20479¹
LCM(20474,20479) = 419287046