What is the Least Common Multiple of 33475 and 33480?

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 33475 and 33480 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33475 and 33480, than apply into the LCM equation.

GCF(33475,33480) = 5
LCM(33475,33480) = ( 33475 × 33480) / 5
LCM(33475,33480) = 1120743000 / 5
LCM(33475,33480) = 224148600

Least Common Multiple (LCM) of 33475 and 33480 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33475 and 33480. First we will calculate the prime factors of 33475 and 33480.

Prime Factorization of 33475

Prime Factorization of 33480

Now multiplying the highest exponent prime factors to calculate the LCM of 33475 and 33480.

LCM(33475,33480) = 5² × 13¹ × 103¹ × 2³ × 3³ × 31¹
LCM(33475,33480) = 224148600