What is the Least Common Multiple of 27030 and 27047?

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 27030 and 27047 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27030 and 27047, than apply into the LCM equation.

GCF(27030,27047) = 17
LCM(27030,27047) = ( 27030 × 27047) / 17
LCM(27030,27047) = 731080410 / 17
LCM(27030,27047) = 43004730

Least Common Multiple (LCM) of 27030 and 27047 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27030 and 27047. First we will calculate the prime factors of 27030 and 27047.

Prime Factorization of 27030

Prime Factorization of 27047

Now multiplying the highest exponent prime factors to calculate the LCM of 27030 and 27047.

LCM(27030,27047) = 2¹ × 3¹ × 5¹ × 17¹ × 53¹ × 37¹ × 43¹
LCM(27030,27047) = 43004730