What is the Least Common Multiple of 74460 and 74474?

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 74460 and 74474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 74460 and 74474, than apply into the LCM equation.

GCF(74460,74474) = 2
LCM(74460,74474) = ( 74460 × 74474) / 2
LCM(74460,74474) = 5545334040 / 2
LCM(74460,74474) = 2772667020

Least Common Multiple (LCM) of 74460 and 74474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 74460 and 74474. First we will calculate the prime factors of 74460 and 74474.

Prime Factorization of 74460

Prime Factorization of 74474

Now multiplying the highest exponent prime factors to calculate the LCM of 74460 and 74474.

LCM(74460,74474) = 2² × 3¹ × 5¹ × 17¹ × 73¹ × 23¹ × 1619¹
LCM(74460,74474) = 2772667020