What is the Least Common Multiple of 3460 and 3474?

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 3460 and 3474 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3460 and 3474, than apply into the LCM equation.

GCF(3460,3474) = 2
LCM(3460,3474) = ( 3460 × 3474) / 2
LCM(3460,3474) = 12020040 / 2
LCM(3460,3474) = 6010020

Least Common Multiple (LCM) of 3460 and 3474 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3460 and 3474. First we will calculate the prime factors of 3460 and 3474.

Prime Factorization of 3460

Prime Factorization of 3474

Now multiplying the highest exponent prime factors to calculate the LCM of 3460 and 3474.

LCM(3460,3474) = 2² × 5¹ × 173¹ × 3² × 193¹
LCM(3460,3474) = 6010020