What is the Least Common Multiple of 94336 and 94349?

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 94336 and 94349 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94336 and 94349, than apply into the LCM equation.

GCF(94336,94349) = 1
LCM(94336,94349) = ( 94336 × 94349) / 1
LCM(94336,94349) = 8900507264 / 1
LCM(94336,94349) = 8900507264

Least Common Multiple (LCM) of 94336 and 94349 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94336 and 94349. First we will calculate the prime factors of 94336 and 94349.

Prime Factorization of 94336

Prime Factorization of 94349

Now multiplying the highest exponent prime factors to calculate the LCM of 94336 and 94349.

LCM(94336,94349) = 2⁷ × 11¹ × 67¹ × 94349¹
LCM(94336,94349) = 8900507264