What is the Least Common Multiple of 3346 and 3360?

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 3346 and 3360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3346 and 3360, than apply into the LCM equation.

GCF(3346,3360) = 14
LCM(3346,3360) = ( 3346 × 3360) / 14
LCM(3346,3360) = 11242560 / 14
LCM(3346,3360) = 803040

Least Common Multiple (LCM) of 3346 and 3360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3346 and 3360. First we will calculate the prime factors of 3346 and 3360.

Prime Factorization of 3346

Prime Factorization of 3360

Now multiplying the highest exponent prime factors to calculate the LCM of 3346 and 3360.

LCM(3346,3360) = 2⁵ × 7¹ × 239¹ × 3¹ × 5¹
LCM(3346,3360) = 803040