What is the Least Common Multiple of 33030 and 33050?

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 33030 and 33050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33030 and 33050, than apply into the LCM equation.

GCF(33030,33050) = 10
LCM(33030,33050) = ( 33030 × 33050) / 10
LCM(33030,33050) = 1091641500 / 10
LCM(33030,33050) = 109164150

Least Common Multiple (LCM) of 33030 and 33050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33030 and 33050. First we will calculate the prime factors of 33030 and 33050.

Prime Factorization of 33030

Prime Factorization of 33050

Now multiplying the highest exponent prime factors to calculate the LCM of 33030 and 33050.

LCM(33030,33050) = 2¹ × 3² × 5² × 367¹ × 661¹
LCM(33030,33050) = 109164150