What is the Least Common Multiple of 33309 and 33318?

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 33309 and 33318 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33309 and 33318, than apply into the LCM equation.

GCF(33309,33318) = 9
LCM(33309,33318) = ( 33309 × 33318) / 9
LCM(33309,33318) = 1109789262 / 9
LCM(33309,33318) = 123309918

Least Common Multiple (LCM) of 33309 and 33318 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33309 and 33318. First we will calculate the prime factors of 33309 and 33318.

Prime Factorization of 33309

Prime Factorization of 33318

Now multiplying the highest exponent prime factors to calculate the LCM of 33309 and 33318.

LCM(33309,33318) = 3³ × 3701¹ × 2¹ × 617¹
LCM(33309,33318) = 123309918