What is the Least Common Multiple of 3354 and 3364?

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 3354 and 3364 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3354 and 3364, than apply into the LCM equation.

GCF(3354,3364) = 2
LCM(3354,3364) = ( 3354 × 3364) / 2
LCM(3354,3364) = 11282856 / 2
LCM(3354,3364) = 5641428

Least Common Multiple (LCM) of 3354 and 3364 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3354 and 3364. First we will calculate the prime factors of 3354 and 3364.

Prime Factorization of 3354

Prime Factorization of 3364

Now multiplying the highest exponent prime factors to calculate the LCM of 3354 and 3364.

LCM(3354,3364) = 2² × 3¹ × 13¹ × 43¹ × 29²
LCM(3354,3364) = 5641428