What is the Least Common Multiple of 3360 and 3380?

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 3360 and 3380 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3360 and 3380, than apply into the LCM equation.

GCF(3360,3380) = 20
LCM(3360,3380) = ( 3360 × 3380) / 20
LCM(3360,3380) = 11356800 / 20
LCM(3360,3380) = 567840

Least Common Multiple (LCM) of 3360 and 3380 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3360 and 3380. First we will calculate the prime factors of 3360 and 3380.

Prime Factorization of 3360

Prime Factorization of 3380

Now multiplying the highest exponent prime factors to calculate the LCM of 3360 and 3380.

LCM(3360,3380) = 2⁵ × 3¹ × 5¹ × 7¹ × 13²
LCM(3360,3380) = 567840