What is the Least Common Multiple of 33015 and 33031?

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 33015 and 33031 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33015 and 33031, than apply into the LCM equation.

GCF(33015,33031) = 1
LCM(33015,33031) = ( 33015 × 33031) / 1
LCM(33015,33031) = 1090518465 / 1
LCM(33015,33031) = 1090518465

Least Common Multiple (LCM) of 33015 and 33031 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 33015 and 33031. First we will calculate the prime factors of 33015 and 33031.

Prime Factorization of 33015

Prime Factorization of 33031

Now multiplying the highest exponent prime factors to calculate the LCM of 33015 and 33031.

LCM(33015,33031) = 3¹ × 5¹ × 31¹ × 71¹ × 17¹ × 29¹ × 67¹
LCM(33015,33031) = 1090518465