What is the Least Common Multiple of 27013 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 27013 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 27013 and 27033, than apply into the LCM equation.

GCF(27013,27033) = 1
LCM(27013,27033) = ( 27013 × 27033) / 1
LCM(27013,27033) = 730242429 / 1
LCM(27013,27033) = 730242429

Least Common Multiple (LCM) of 27013 and 27033 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27013 and 27033. First we will calculate the prime factors of 27013 and 27033.

Prime Factorization of 27013

Prime Factorization of 27033

Now multiplying the highest exponent prime factors to calculate the LCM of 27013 and 27033.

LCM(27013,27033) = 7¹ × 17¹ × 227¹ × 3¹ × 9011¹
LCM(27013,27033) = 730242429