What is the Least Common Multiple of 73845 and 73863?

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 73845 and 73863 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 73845 and 73863, than apply into the LCM equation.

GCF(73845,73863) = 9
LCM(73845,73863) = ( 73845 × 73863) / 9
LCM(73845,73863) = 5454413235 / 9
LCM(73845,73863) = 606045915

Least Common Multiple (LCM) of 73845 and 73863 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73845 and 73863. First we will calculate the prime factors of 73845 and 73863.

Prime Factorization of 73845

Prime Factorization of 73863

Now multiplying the highest exponent prime factors to calculate the LCM of 73845 and 73863.

LCM(73845,73863) = 3³ × 5¹ × 547¹ × 29¹ × 283¹
LCM(73845,73863) = 606045915