What is the Least Common Multiple of 3315 and 3330?

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 3315 and 3330 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3315 and 3330, than apply into the LCM equation.

GCF(3315,3330) = 15
LCM(3315,3330) = ( 3315 × 3330) / 15
LCM(3315,3330) = 11038950 / 15
LCM(3315,3330) = 735930

Least Common Multiple (LCM) of 3315 and 3330 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3315 and 3330. First we will calculate the prime factors of 3315 and 3330.

Prime Factorization of 3315

Prime Factorization of 3330

Now multiplying the highest exponent prime factors to calculate the LCM of 3315 and 3330.

LCM(3315,3330) = 3² × 5¹ × 13¹ × 17¹ × 2¹ × 37¹
LCM(3315,3330) = 735930