What is the Least Common Multiple of 73845 and 73849?

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 73849 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 73849, than apply into the LCM equation.

GCF(73845,73849) = 1
LCM(73845,73849) = ( 73845 × 73849) / 1
LCM(73845,73849) = 5453379405 / 1
LCM(73845,73849) = 5453379405

Least Common Multiple (LCM) of 73845 and 73849 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 73845 and 73849. First we will calculate the prime factors of 73845 and 73849.

Prime Factorization of 73845

Prime Factorization of 73849

Now multiplying the highest exponent prime factors to calculate the LCM of 73845 and 73849.

LCM(73845,73849) = 3³ × 5¹ × 547¹ × 73849¹
LCM(73845,73849) = 5453379405