What is the Least Common Multiple of 3474 and 3489?

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 3474 and 3489 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3474 and 3489, than apply into the LCM equation.

GCF(3474,3489) = 3
LCM(3474,3489) = ( 3474 × 3489) / 3
LCM(3474,3489) = 12120786 / 3
LCM(3474,3489) = 4040262

Least Common Multiple (LCM) of 3474 and 3489 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3474 and 3489. First we will calculate the prime factors of 3474 and 3489.

Prime Factorization of 3474

Prime Factorization of 3489

Now multiplying the highest exponent prime factors to calculate the LCM of 3474 and 3489.

LCM(3474,3489) = 2¹ × 3² × 193¹ × 1163¹
LCM(3474,3489) = 4040262