What is the Least Common Multiple of 3304 and 3318?

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 3304 and 3318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3304 and 3318, than apply into the LCM equation.

GCF(3304,3318) = 14
LCM(3304,3318) = ( 3304 × 3318) / 14
LCM(3304,3318) = 10962672 / 14
LCM(3304,3318) = 783048

Least Common Multiple (LCM) of 3304 and 3318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3304 and 3318. First we will calculate the prime factors of 3304 and 3318.

Prime Factorization of 3304

Prime Factorization of 3318

Now multiplying the highest exponent prime factors to calculate the LCM of 3304 and 3318.

LCM(3304,3318) = 2³ × 7¹ × 59¹ × 3¹ × 79¹
LCM(3304,3318) = 783048