What is the Least Common Multiple of 33090 and 33097?

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 33090 and 33097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33090 and 33097, than apply into the LCM equation.

GCF(33090,33097) = 1
LCM(33090,33097) = ( 33090 × 33097) / 1
LCM(33090,33097) = 1095179730 / 1
LCM(33090,33097) = 1095179730

Least Common Multiple (LCM) of 33090 and 33097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33090 and 33097. First we will calculate the prime factors of 33090 and 33097.

Prime Factorization of 33090

Prime Factorization of 33097

Now multiplying the highest exponent prime factors to calculate the LCM of 33090 and 33097.

LCM(33090,33097) = 2¹ × 3¹ × 5¹ × 1103¹ × 23¹ × 1439¹
LCM(33090,33097) = 1095179730