What is the Least Common Multiple of 87330 and 87344?

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 87330 and 87344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87330 and 87344, than apply into the LCM equation.

GCF(87330,87344) = 2
LCM(87330,87344) = ( 87330 × 87344) / 2
LCM(87330,87344) = 7627751520 / 2
LCM(87330,87344) = 3813875760

Least Common Multiple (LCM) of 87330 and 87344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87330 and 87344. First we will calculate the prime factors of 87330 and 87344.

Prime Factorization of 87330

Prime Factorization of 87344

Now multiplying the highest exponent prime factors to calculate the LCM of 87330 and 87344.

LCM(87330,87344) = 2⁴ × 3¹ × 5¹ × 41¹ × 71¹ × 53¹ × 103¹
LCM(87330,87344) = 3813875760