What is the Least Common Multiple of 94839 and 94845?

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 94839 and 94845 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94839 and 94845, than apply into the LCM equation.

GCF(94839,94845) = 3
LCM(94839,94845) = ( 94839 × 94845) / 3
LCM(94839,94845) = 8995004955 / 3
LCM(94839,94845) = 2998334985

Least Common Multiple (LCM) of 94839 and 94845 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94839 and 94845. First we will calculate the prime factors of 94839 and 94845.

Prime Factorization of 94839

Prime Factorization of 94845

Now multiplying the highest exponent prime factors to calculate the LCM of 94839 and 94845.

LCM(94839,94845) = 3¹ × 101¹ × 313¹ × 5¹ × 6323¹
LCM(94839,94845) = 2998334985