What is the Least Common Multiple of 87312 and 87322?

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 87312 and 87322 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87312 and 87322, than apply into the LCM equation.

GCF(87312,87322) = 2
LCM(87312,87322) = ( 87312 × 87322) / 2
LCM(87312,87322) = 7624258464 / 2
LCM(87312,87322) = 3812129232

Least Common Multiple (LCM) of 87312 and 87322 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87312 and 87322. First we will calculate the prime factors of 87312 and 87322.

Prime Factorization of 87312

Prime Factorization of 87322

Now multiplying the highest exponent prime factors to calculate the LCM of 87312 and 87322.

LCM(87312,87322) = 2⁴ × 3¹ × 17¹ × 107¹ × 43661¹
LCM(87312,87322) = 3812129232