What is the Least Common Multiple of 33480 and 33485?

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 33480 and 33485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33480 and 33485, than apply into the LCM equation.

GCF(33480,33485) = 5
LCM(33480,33485) = ( 33480 × 33485) / 5
LCM(33480,33485) = 1121077800 / 5
LCM(33480,33485) = 224215560

Least Common Multiple (LCM) of 33480 and 33485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33480 and 33485. First we will calculate the prime factors of 33480 and 33485.

Prime Factorization of 33480

Prime Factorization of 33485

Now multiplying the highest exponent prime factors to calculate the LCM of 33480 and 33485.

LCM(33480,33485) = 2³ × 3³ × 5¹ × 31¹ × 37¹ × 181¹
LCM(33480,33485) = 224215560