What is the Least Common Multiple of 27030 and 27035?

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 27035 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 27035, than apply into the LCM equation.

GCF(27030,27035) = 5
LCM(27030,27035) = ( 27030 × 27035) / 5
LCM(27030,27035) = 730756050 / 5
LCM(27030,27035) = 146151210

Least Common Multiple (LCM) of 27030 and 27035 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27030 and 27035. First we will calculate the prime factors of 27030 and 27035.

Prime Factorization of 27030

Prime Factorization of 27035

Now multiplying the highest exponent prime factors to calculate the LCM of 27030 and 27035.

LCM(27030,27035) = 2¹ × 3¹ × 5¹ × 17¹ × 53¹ × 5407¹
LCM(27030,27035) = 146151210