What is the Least Common Multiple of 47892 and 47909?

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 47892 and 47909 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47892 and 47909, than apply into the LCM equation.

GCF(47892,47909) = 1
LCM(47892,47909) = ( 47892 × 47909) / 1
LCM(47892,47909) = 2294457828 / 1
LCM(47892,47909) = 2294457828

Least Common Multiple (LCM) of 47892 and 47909 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47892 and 47909. First we will calculate the prime factors of 47892 and 47909.

Prime Factorization of 47892

Prime Factorization of 47909

Now multiplying the highest exponent prime factors to calculate the LCM of 47892 and 47909.

LCM(47892,47909) = 2² × 3¹ × 13¹ × 307¹ × 23¹ × 2083¹
LCM(47892,47909) = 2294457828