What is the Least Common Multiple of 94393 and 94413?

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 94393 and 94413 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94393 and 94413, than apply into the LCM equation.

GCF(94393,94413) = 1
LCM(94393,94413) = ( 94393 × 94413) / 1
LCM(94393,94413) = 8911926309 / 1
LCM(94393,94413) = 8911926309

Least Common Multiple (LCM) of 94393 and 94413 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94393 and 94413. First we will calculate the prime factors of 94393 and 94413.

Prime Factorization of 94393

Prime Factorization of 94413

Now multiplying the highest exponent prime factors to calculate the LCM of 94393 and 94413.

LCM(94393,94413) = 13¹ × 53¹ × 137¹ × 3¹ × 11¹ × 2861¹
LCM(94393,94413) = 8911926309