What is the Least Common Multiple of 87808 and 87822?

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 87808 and 87822 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87808 and 87822, than apply into the LCM equation.

GCF(87808,87822) = 14
LCM(87808,87822) = ( 87808 × 87822) / 14
LCM(87808,87822) = 7711474176 / 14
LCM(87808,87822) = 550819584

Least Common Multiple (LCM) of 87808 and 87822 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87808 and 87822. First we will calculate the prime factors of 87808 and 87822.

Prime Factorization of 87808

Prime Factorization of 87822

Now multiplying the highest exponent prime factors to calculate the LCM of 87808 and 87822.

LCM(87808,87822) = 2⁸ × 7³ × 3² × 17¹ × 41¹
LCM(87808,87822) = 550819584