What is the Least Common Multiple of 20474 and 20483?

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 20483 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 20483, than apply into the LCM equation.

GCF(20474,20483) = 1
LCM(20474,20483) = ( 20474 × 20483) / 1
LCM(20474,20483) = 419368942 / 1
LCM(20474,20483) = 419368942

Least Common Multiple (LCM) of 20474 and 20483 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20474 and 20483. First we will calculate the prime factors of 20474 and 20483.

Prime Factorization of 20474

Prime Factorization of 20483

Now multiplying the highest exponent prime factors to calculate the LCM of 20474 and 20483.

LCM(20474,20483) = 2¹ × 29¹ × 353¹ × 20483¹
LCM(20474,20483) = 419368942