What is the Least Common Multiple of 94845 and 94855?

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 94845 and 94855 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94845 and 94855, than apply into the LCM equation.

GCF(94845,94855) = 5
LCM(94845,94855) = ( 94845 × 94855) / 5
LCM(94845,94855) = 8996522475 / 5
LCM(94845,94855) = 1799304495

Least Common Multiple (LCM) of 94845 and 94855 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94845 and 94855. First we will calculate the prime factors of 94845 and 94855.

Prime Factorization of 94845

Prime Factorization of 94855

Now multiplying the highest exponent prime factors to calculate the LCM of 94845 and 94855.

LCM(94845,94855) = 3¹ × 5¹ × 6323¹ × 61¹ × 311¹
LCM(94845,94855) = 1799304495