What is the Least Common Multiple of 27030 and 27046?

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 27046 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 27046, than apply into the LCM equation.

GCF(27030,27046) = 2
LCM(27030,27046) = ( 27030 × 27046) / 2
LCM(27030,27046) = 731053380 / 2
LCM(27030,27046) = 365526690

Least Common Multiple (LCM) of 27030 and 27046 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27030 and 27046. First we will calculate the prime factors of 27030 and 27046.

Prime Factorization of 27030

Prime Factorization of 27046

Now multiplying the highest exponent prime factors to calculate the LCM of 27030 and 27046.

LCM(27030,27046) = 2¹ × 3¹ × 5¹ × 17¹ × 53¹ × 13523¹
LCM(27030,27046) = 365526690