What is the Least Common Multiple of 33130 and 33142?

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 33130 and 33142 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33130 and 33142, than apply into the LCM equation.

GCF(33130,33142) = 2
LCM(33130,33142) = ( 33130 × 33142) / 2
LCM(33130,33142) = 1097994460 / 2
LCM(33130,33142) = 548997230

Least Common Multiple (LCM) of 33130 and 33142 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33130 and 33142. First we will calculate the prime factors of 33130 and 33142.

Prime Factorization of 33130

Prime Factorization of 33142

Now multiplying the highest exponent prime factors to calculate the LCM of 33130 and 33142.

LCM(33130,33142) = 2¹ × 5¹ × 3313¹ × 73¹ × 227¹
LCM(33130,33142) = 548997230