What is the Least Common Multiple of 47805 and 47809?

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 47805 and 47809 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47805 and 47809, than apply into the LCM equation.

GCF(47805,47809) = 1
LCM(47805,47809) = ( 47805 × 47809) / 1
LCM(47805,47809) = 2285509245 / 1
LCM(47805,47809) = 2285509245

Least Common Multiple (LCM) of 47805 and 47809 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47805 and 47809. First we will calculate the prime factors of 47805 and 47809.

Prime Factorization of 47805

Prime Factorization of 47809

Now multiplying the highest exponent prime factors to calculate the LCM of 47805 and 47809.

LCM(47805,47809) = 3¹ × 5¹ × 3187¹ × 47809¹
LCM(47805,47809) = 2285509245