What is the Least Common Multiple of 27720 and 27734?

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 27734 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 27734, than apply into the LCM equation.

GCF(27720,27734) = 14
LCM(27720,27734) = ( 27720 × 27734) / 14
LCM(27720,27734) = 768786480 / 14
LCM(27720,27734) = 54913320

Least Common Multiple (LCM) of 27720 and 27734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27720 and 27734. First we will calculate the prime factors of 27720 and 27734.

Prime Factorization of 27720

Prime Factorization of 27734

Now multiplying the highest exponent prime factors to calculate the LCM of 27720 and 27734.

LCM(27720,27734) = 2³ × 3² × 5¹ × 7² × 11¹ × 283¹
LCM(27720,27734) = 54913320