What is the Least Common Multiple of 27750 and 27768?

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 27750 and 27768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27750 and 27768, than apply into the LCM equation.

GCF(27750,27768) = 6
LCM(27750,27768) = ( 27750 × 27768) / 6
LCM(27750,27768) = 770562000 / 6
LCM(27750,27768) = 128427000

Least Common Multiple (LCM) of 27750 and 27768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27750 and 27768. First we will calculate the prime factors of 27750 and 27768.

Prime Factorization of 27750

Prime Factorization of 27768

Now multiplying the highest exponent prime factors to calculate the LCM of 27750 and 27768.

LCM(27750,27768) = 2³ × 3¹ × 5³ × 37¹ × 13¹ × 89¹
LCM(27750,27768) = 128427000