What is the Least Common Multiple of 47687 and 47699?

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 47687 and 47699 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47687 and 47699, than apply into the LCM equation.

GCF(47687,47699) = 1
LCM(47687,47699) = ( 47687 × 47699) / 1
LCM(47687,47699) = 2274622213 / 1
LCM(47687,47699) = 2274622213

Least Common Multiple (LCM) of 47687 and 47699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47687 and 47699. First we will calculate the prime factors of 47687 and 47699.

Prime Factorization of 47687

Prime Factorization of 47699

Now multiplying the highest exponent prime factors to calculate the LCM of 47687 and 47699.

LCM(47687,47699) = 43¹ × 1109¹ × 47699¹
LCM(47687,47699) = 2274622213