What is the Least Common Multiple of 33630 and 33650?

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 33630 and 33650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33630 and 33650, than apply into the LCM equation.

GCF(33630,33650) = 10
LCM(33630,33650) = ( 33630 × 33650) / 10
LCM(33630,33650) = 1131649500 / 10
LCM(33630,33650) = 113164950

Least Common Multiple (LCM) of 33630 and 33650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33630 and 33650. First we will calculate the prime factors of 33630 and 33650.

Prime Factorization of 33630

Prime Factorization of 33650

Now multiplying the highest exponent prime factors to calculate the LCM of 33630 and 33650.

LCM(33630,33650) = 2¹ × 3¹ × 5² × 19¹ × 59¹ × 673¹
LCM(33630,33650) = 113164950