What is the Least Common Multiple of 3364 and 3373?

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 3364 and 3373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3364 and 3373, than apply into the LCM equation.

GCF(3364,3373) = 1
LCM(3364,3373) = ( 3364 × 3373) / 1
LCM(3364,3373) = 11346772 / 1
LCM(3364,3373) = 11346772

Least Common Multiple (LCM) of 3364 and 3373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3364 and 3373. First we will calculate the prime factors of 3364 and 3373.

Prime Factorization of 3364

Prime Factorization of 3373

Now multiplying the highest exponent prime factors to calculate the LCM of 3364 and 3373.

LCM(3364,3373) = 2² × 29² × 3373¹
LCM(3364,3373) = 11346772