What is the Least Common Multiple of 3352 and 3372?

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 3352 and 3372 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3352 and 3372, than apply into the LCM equation.

GCF(3352,3372) = 4
LCM(3352,3372) = ( 3352 × 3372) / 4
LCM(3352,3372) = 11302944 / 4
LCM(3352,3372) = 2825736

Least Common Multiple (LCM) of 3352 and 3372 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3352 and 3372. First we will calculate the prime factors of 3352 and 3372.

Prime Factorization of 3352

Prime Factorization of 3372

Now multiplying the highest exponent prime factors to calculate the LCM of 3352 and 3372.

LCM(3352,3372) = 2³ × 419¹ × 3¹ × 281¹
LCM(3352,3372) = 2825736