What is the Least Common Multiple of 87304 and 87319?

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 87304 and 87319 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87304 and 87319, than apply into the LCM equation.

GCF(87304,87319) = 1
LCM(87304,87319) = ( 87304 × 87319) / 1
LCM(87304,87319) = 7623297976 / 1
LCM(87304,87319) = 7623297976

Least Common Multiple (LCM) of 87304 and 87319 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87304 and 87319. First we will calculate the prime factors of 87304 and 87319.

Prime Factorization of 87304

Prime Factorization of 87319

Now multiplying the highest exponent prime factors to calculate the LCM of 87304 and 87319.

LCM(87304,87319) = 2³ × 7¹ × 1559¹ × 29¹ × 3011¹
LCM(87304,87319) = 7623297976