What is the Least Common Multiple of 33010 and 33030?

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 33010 and 33030 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33010 and 33030, than apply into the LCM equation.

GCF(33010,33030) = 10
LCM(33010,33030) = ( 33010 × 33030) / 10
LCM(33010,33030) = 1090320300 / 10
LCM(33010,33030) = 109032030

Least Common Multiple (LCM) of 33010 and 33030 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33010 and 33030. First we will calculate the prime factors of 33010 and 33030.

Prime Factorization of 33010

Prime Factorization of 33030

Now multiplying the highest exponent prime factors to calculate the LCM of 33010 and 33030.

LCM(33010,33030) = 2¹ × 5¹ × 3301¹ × 3² × 367¹
LCM(33010,33030) = 109032030