What is the Least Common Multiple of 33480 and 33486?

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 33486 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 33486, than apply into the LCM equation.

GCF(33480,33486) = 6
LCM(33480,33486) = ( 33480 × 33486) / 6
LCM(33480,33486) = 1121111280 / 6
LCM(33480,33486) = 186851880

Least Common Multiple (LCM) of 33480 and 33486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33480 and 33486. First we will calculate the prime factors of 33480 and 33486.

Prime Factorization of 33480

Prime Factorization of 33486

Now multiplying the highest exponent prime factors to calculate the LCM of 33480 and 33486.

LCM(33480,33486) = 2³ × 3³ × 5¹ × 31¹ × 5581¹
LCM(33480,33486) = 186851880