What is the Least Common Multiple of 27808 and 27827?

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 27808 and 27827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 27808 and 27827, than apply into the LCM equation.

GCF(27808,27827) = 1
LCM(27808,27827) = ( 27808 × 27827) / 1
LCM(27808,27827) = 773813216 / 1
LCM(27808,27827) = 773813216

Least Common Multiple (LCM) of 27808 and 27827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27808 and 27827. First we will calculate the prime factors of 27808 and 27827.

Prime Factorization of 27808

Prime Factorization of 27827

Now multiplying the highest exponent prime factors to calculate the LCM of 27808 and 27827.

LCM(27808,27827) = 2⁵ × 11¹ × 79¹ × 27827¹
LCM(27808,27827) = 773813216