What is the Least Common Multiple of 9015 and 9033?

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 9015 and 9033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9015 and 9033, than apply into the LCM equation.

GCF(9015,9033) = 3
LCM(9015,9033) = ( 9015 × 9033) / 3
LCM(9015,9033) = 81432495 / 3
LCM(9015,9033) = 27144165

Least Common Multiple (LCM) of 9015 and 9033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 9015 and 9033. First we will calculate the prime factors of 9015 and 9033.

Prime Factorization of 9015

Prime Factorization of 9033

Now multiplying the highest exponent prime factors to calculate the LCM of 9015 and 9033.

LCM(9015,9033) = 3¹ × 5¹ × 601¹ × 3011¹
LCM(9015,9033) = 27144165