What is the Least Common Multiple of 3567 and 3574?

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 3567 and 3574 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3567 and 3574, than apply into the LCM equation.

GCF(3567,3574) = 1
LCM(3567,3574) = ( 3567 × 3574) / 1
LCM(3567,3574) = 12748458 / 1
LCM(3567,3574) = 12748458

Least Common Multiple (LCM) of 3567 and 3574 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3567 and 3574. First we will calculate the prime factors of 3567 and 3574.

Prime Factorization of 3567

Prime Factorization of 3574

Now multiplying the highest exponent prime factors to calculate the LCM of 3567 and 3574.

LCM(3567,3574) = 3¹ × 29¹ × 41¹ × 2¹ × 1787¹
LCM(3567,3574) = 12748458