What is the Least Common Multiple of 27720 and 27733?

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 27720 and 27733 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27720 and 27733, than apply into the LCM equation.

GCF(27720,27733) = 1
LCM(27720,27733) = ( 27720 × 27733) / 1
LCM(27720,27733) = 768758760 / 1
LCM(27720,27733) = 768758760

Least Common Multiple (LCM) of 27720 and 27733 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27720 and 27733. First we will calculate the prime factors of 27720 and 27733.

Prime Factorization of 27720

Prime Factorization of 27733

Now multiplying the highest exponent prime factors to calculate the LCM of 27720 and 27733.

LCM(27720,27733) = 2³ × 3² × 5¹ × 7¹ × 11¹ × 27733¹
LCM(27720,27733) = 768758760