What is the Least Common Multiple of 94321 and 94340?

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 94321 and 94340 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94321 and 94340, than apply into the LCM equation.

GCF(94321,94340) = 1
LCM(94321,94340) = ( 94321 × 94340) / 1
LCM(94321,94340) = 8898243140 / 1
LCM(94321,94340) = 8898243140

Least Common Multiple (LCM) of 94321 and 94340 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94321 and 94340. First we will calculate the prime factors of 94321 and 94340.

Prime Factorization of 94321

Prime Factorization of 94340

Now multiplying the highest exponent prime factors to calculate the LCM of 94321 and 94340.

LCM(94321,94340) = 94321¹ × 2² × 5¹ × 53¹ × 89¹
LCM(94321,94340) = 8898243140