What is the Least Common Multiple of 9460 and 9474?

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 9460 and 9474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9460 and 9474, than apply into the LCM equation.

GCF(9460,9474) = 2
LCM(9460,9474) = ( 9460 × 9474) / 2
LCM(9460,9474) = 89624040 / 2
LCM(9460,9474) = 44812020

Least Common Multiple (LCM) of 9460 and 9474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9460 and 9474. First we will calculate the prime factors of 9460 and 9474.

Prime Factorization of 9460

Prime Factorization of 9474

Now multiplying the highest exponent prime factors to calculate the LCM of 9460 and 9474.

LCM(9460,9474) = 2² × 5¹ × 11¹ × 43¹ × 3¹ × 1579¹
LCM(9460,9474) = 44812020