What is the Least Common Multiple of 94328 and 94346?

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 94328 and 94346 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94328 and 94346, than apply into the LCM equation.

GCF(94328,94346) = 2
LCM(94328,94346) = ( 94328 × 94346) / 2
LCM(94328,94346) = 8899469488 / 2
LCM(94328,94346) = 4449734744

Least Common Multiple (LCM) of 94328 and 94346 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94328 and 94346. First we will calculate the prime factors of 94328 and 94346.

Prime Factorization of 94328

Prime Factorization of 94346

Now multiplying the highest exponent prime factors to calculate the LCM of 94328 and 94346.

LCM(94328,94346) = 2³ × 13¹ × 907¹ × 7¹ × 23¹ × 293¹
LCM(94328,94346) = 4449734744