What is the Least Common Multiple of 87328 and 87343?

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 87328 and 87343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87328 and 87343, than apply into the LCM equation.

GCF(87328,87343) = 1
LCM(87328,87343) = ( 87328 × 87343) / 1
LCM(87328,87343) = 7627489504 / 1
LCM(87328,87343) = 7627489504

Least Common Multiple (LCM) of 87328 and 87343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87328 and 87343. First we will calculate the prime factors of 87328 and 87343.

Prime Factorization of 87328

Prime Factorization of 87343

Now multiplying the highest exponent prime factors to calculate the LCM of 87328 and 87343.

LCM(87328,87343) = 2⁵ × 2729¹ × 19¹ × 4597¹
LCM(87328,87343) = 7627489504