What is the Least Common Multiple of 50460 and 50474?

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 50460 and 50474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 50460 and 50474, than apply into the LCM equation.

GCF(50460,50474) = 2
LCM(50460,50474) = ( 50460 × 50474) / 2
LCM(50460,50474) = 2546918040 / 2
LCM(50460,50474) = 1273459020

Least Common Multiple (LCM) of 50460 and 50474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 50460 and 50474. First we will calculate the prime factors of 50460 and 50474.

Prime Factorization of 50460

Prime Factorization of 50474

Now multiplying the highest exponent prime factors to calculate the LCM of 50460 and 50474.

LCM(50460,50474) = 2² × 3¹ × 5¹ × 29² × 25237¹
LCM(50460,50474) = 1273459020