What is the Least Common Multiple of 27808 and 27822?

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 27822 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 27822, than apply into the LCM equation.

GCF(27808,27822) = 2
LCM(27808,27822) = ( 27808 × 27822) / 2
LCM(27808,27822) = 773674176 / 2
LCM(27808,27822) = 386837088

Least Common Multiple (LCM) of 27808 and 27822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 27808 and 27822. First we will calculate the prime factors of 27808 and 27822.

Prime Factorization of 27808

Prime Factorization of 27822

Now multiplying the highest exponent prime factors to calculate the LCM of 27808 and 27822.

LCM(27808,27822) = 2⁵ × 11¹ × 79¹ × 3¹ × 4637¹
LCM(27808,27822) = 386837088