What is the Least Common Multiple of 27740 and 27759?

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 27740 and 27759 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27740 and 27759, than apply into the LCM equation.

GCF(27740,27759) = 19
LCM(27740,27759) = ( 27740 × 27759) / 19
LCM(27740,27759) = 770034660 / 19
LCM(27740,27759) = 40528140

Least Common Multiple (LCM) of 27740 and 27759 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27740 and 27759. First we will calculate the prime factors of 27740 and 27759.

Prime Factorization of 27740

Prime Factorization of 27759

Now multiplying the highest exponent prime factors to calculate the LCM of 27740 and 27759.

LCM(27740,27759) = 2² × 5¹ × 19¹ × 73¹ × 3¹ × 487¹
LCM(27740,27759) = 40528140