What is the Least Common Multiple of 27015 and 27033?

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 27015 and 27033 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27015 and 27033, than apply into the LCM equation.

GCF(27015,27033) = 3
LCM(27015,27033) = ( 27015 × 27033) / 3
LCM(27015,27033) = 730296495 / 3
LCM(27015,27033) = 243432165

Least Common Multiple (LCM) of 27015 and 27033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27015 and 27033. First we will calculate the prime factors of 27015 and 27033.

Prime Factorization of 27015

Prime Factorization of 27033

Now multiplying the highest exponent prime factors to calculate the LCM of 27015 and 27033.

LCM(27015,27033) = 3¹ × 5¹ × 1801¹ × 9011¹
LCM(27015,27033) = 243432165