What is the Least Common Multiple of 47900 and 47905?

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 47900 and 47905 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47900 and 47905, than apply into the LCM equation.

GCF(47900,47905) = 5
LCM(47900,47905) = ( 47900 × 47905) / 5
LCM(47900,47905) = 2294649500 / 5
LCM(47900,47905) = 458929900

Least Common Multiple (LCM) of 47900 and 47905 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47900 and 47905. First we will calculate the prime factors of 47900 and 47905.

Prime Factorization of 47900

Prime Factorization of 47905

Now multiplying the highest exponent prime factors to calculate the LCM of 47900 and 47905.

LCM(47900,47905) = 2² × 5² × 479¹ × 11¹ × 13¹ × 67¹
LCM(47900,47905) = 458929900