What is the Least Common Multiple of 91328 and 91343?

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 91328 and 91343 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 91328 and 91343, than apply into the LCM equation.

GCF(91328,91343) = 1
LCM(91328,91343) = ( 91328 × 91343) / 1
LCM(91328,91343) = 8342173504 / 1
LCM(91328,91343) = 8342173504

Least Common Multiple (LCM) of 91328 and 91343 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 91328 and 91343. First we will calculate the prime factors of 91328 and 91343.

Prime Factorization of 91328

Prime Factorization of 91343

Now multiplying the highest exponent prime factors to calculate the LCM of 91328 and 91343.

LCM(91328,91343) = 2⁶ × 1427¹ × 7¹ × 13049¹
LCM(91328,91343) = 8342173504