What is the Least Common Multiple of 27716 and 27730?

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 27716 and 27730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27716 and 27730, than apply into the LCM equation.

GCF(27716,27730) = 2
LCM(27716,27730) = ( 27716 × 27730) / 2
LCM(27716,27730) = 768564680 / 2
LCM(27716,27730) = 384282340

Least Common Multiple (LCM) of 27716 and 27730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27716 and 27730. First we will calculate the prime factors of 27716 and 27730.

Prime Factorization of 27716

Prime Factorization of 27730

Now multiplying the highest exponent prime factors to calculate the LCM of 27716 and 27730.

LCM(27716,27730) = 2² × 13² × 41¹ × 5¹ × 47¹ × 59¹
LCM(27716,27730) = 384282340