What is the Least Common Multiple of 94346 and 94360?

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 94346 and 94360 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94346 and 94360, than apply into the LCM equation.

GCF(94346,94360) = 14
LCM(94346,94360) = ( 94346 × 94360) / 14
LCM(94346,94360) = 8902488560 / 14
LCM(94346,94360) = 635892040

Least Common Multiple (LCM) of 94346 and 94360 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94346 and 94360. First we will calculate the prime factors of 94346 and 94360.

Prime Factorization of 94346

Prime Factorization of 94360

Now multiplying the highest exponent prime factors to calculate the LCM of 94346 and 94360.

LCM(94346,94360) = 2³ × 7¹ × 23¹ × 293¹ × 5¹ × 337¹
LCM(94346,94360) = 635892040