What is the Least Common Multiple of 47691 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 47691 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 47691 and 47699, than apply into the LCM equation.

GCF(47691,47699) = 1
LCM(47691,47699) = ( 47691 × 47699) / 1
LCM(47691,47699) = 2274813009 / 1
LCM(47691,47699) = 2274813009

Least Common Multiple (LCM) of 47691 and 47699 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47691 and 47699. First we will calculate the prime factors of 47691 and 47699.

Prime Factorization of 47691

Prime Factorization of 47699

Now multiplying the highest exponent prime factors to calculate the LCM of 47691 and 47699.

LCM(47691,47699) = 3² × 7¹ × 757¹ × 47699¹
LCM(47691,47699) = 2274813009