What is the Least Common Multiple of 3468 and 3487?

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 3468 and 3487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3468 and 3487, than apply into the LCM equation.

GCF(3468,3487) = 1
LCM(3468,3487) = ( 3468 × 3487) / 1
LCM(3468,3487) = 12092916 / 1
LCM(3468,3487) = 12092916

Least Common Multiple (LCM) of 3468 and 3487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3468 and 3487. First we will calculate the prime factors of 3468 and 3487.

Prime Factorization of 3468

Prime Factorization of 3487

Now multiplying the highest exponent prime factors to calculate the LCM of 3468 and 3487.

LCM(3468,3487) = 2² × 3¹ × 17² × 11¹ × 317¹
LCM(3468,3487) = 12092916