What is the Least Common Multiple of 94278 and 94293?

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 94278 and 94293 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94278 and 94293, than apply into the LCM equation.

GCF(94278,94293) = 3
LCM(94278,94293) = ( 94278 × 94293) / 3
LCM(94278,94293) = 8889755454 / 3
LCM(94278,94293) = 2963251818

Least Common Multiple (LCM) of 94278 and 94293 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94278 and 94293. First we will calculate the prime factors of 94278 and 94293.

Prime Factorization of 94278

Prime Factorization of 94293

Now multiplying the highest exponent prime factors to calculate the LCM of 94278 and 94293.

LCM(94278,94293) = 2¹ × 3² × 19¹ × 827¹ × 10477¹
LCM(94278,94293) = 2963251818