What is the Least Common Multiple of 47896 and 47903?

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 47896 and 47903 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47896 and 47903, than apply into the LCM equation.

GCF(47896,47903) = 1
LCM(47896,47903) = ( 47896 × 47903) / 1
LCM(47896,47903) = 2294362088 / 1
LCM(47896,47903) = 2294362088

Least Common Multiple (LCM) of 47896 and 47903 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47896 and 47903. First we will calculate the prime factors of 47896 and 47903.

Prime Factorization of 47896

Prime Factorization of 47903

Now multiplying the highest exponent prime factors to calculate the LCM of 47896 and 47903.

LCM(47896,47903) = 2³ × 5987¹ × 47903¹
LCM(47896,47903) = 2294362088