What is the Least Common Multiple of 33070 and 33090?

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 33070 and 33090 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33070 and 33090, than apply into the LCM equation.

GCF(33070,33090) = 10
LCM(33070,33090) = ( 33070 × 33090) / 10
LCM(33070,33090) = 1094286300 / 10
LCM(33070,33090) = 109428630

Least Common Multiple (LCM) of 33070 and 33090 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33070 and 33090. First we will calculate the prime factors of 33070 and 33090.

Prime Factorization of 33070

Prime Factorization of 33090

Now multiplying the highest exponent prime factors to calculate the LCM of 33070 and 33090.

LCM(33070,33090) = 2¹ × 5¹ × 3307¹ × 3¹ × 1103¹
LCM(33070,33090) = 109428630