What is the Least Common Multiple of 27584 and 27598?

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 27584 and 27598 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27584 and 27598, than apply into the LCM equation.

GCF(27584,27598) = 2
LCM(27584,27598) = ( 27584 × 27598) / 2
LCM(27584,27598) = 761263232 / 2
LCM(27584,27598) = 380631616

Least Common Multiple (LCM) of 27584 and 27598 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27584 and 27598. First we will calculate the prime factors of 27584 and 27598.

Prime Factorization of 27584

Prime Factorization of 27598

Now multiplying the highest exponent prime factors to calculate the LCM of 27584 and 27598.

LCM(27584,27598) = 2⁶ × 431¹ × 13799¹
LCM(27584,27598) = 380631616