What is the Least Common Multiple of 27600 and 27614?

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 27600 and 27614 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27600 and 27614, than apply into the LCM equation.

GCF(27600,27614) = 2
LCM(27600,27614) = ( 27600 × 27614) / 2
LCM(27600,27614) = 762146400 / 2
LCM(27600,27614) = 381073200

Least Common Multiple (LCM) of 27600 and 27614 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27600 and 27614. First we will calculate the prime factors of 27600 and 27614.

Prime Factorization of 27600

Prime Factorization of 27614

Now multiplying the highest exponent prime factors to calculate the LCM of 27600 and 27614.

LCM(27600,27614) = 2⁴ × 3¹ × 5² × 23¹ × 13807¹
LCM(27600,27614) = 381073200