What is the Least Common Multiple of 3468 and 3486?

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 3486 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 3486, than apply into the LCM equation.

GCF(3468,3486) = 6
LCM(3468,3486) = ( 3468 × 3486) / 6
LCM(3468,3486) = 12089448 / 6
LCM(3468,3486) = 2014908

Least Common Multiple (LCM) of 3468 and 3486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3468 and 3486. First we will calculate the prime factors of 3468 and 3486.

Prime Factorization of 3468

Prime Factorization of 3486

Now multiplying the highest exponent prime factors to calculate the LCM of 3468 and 3486.

LCM(3468,3486) = 2² × 3¹ × 17² × 7¹ × 83¹
LCM(3468,3486) = 2014908