What is the Least Common Multiple of 47721 and 47734?

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 47721 and 47734 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47721 and 47734, than apply into the LCM equation.

GCF(47721,47734) = 1
LCM(47721,47734) = ( 47721 × 47734) / 1
LCM(47721,47734) = 2277914214 / 1
LCM(47721,47734) = 2277914214

Least Common Multiple (LCM) of 47721 and 47734 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47721 and 47734. First we will calculate the prime factors of 47721 and 47734.

Prime Factorization of 47721

Prime Factorization of 47734

Now multiplying the highest exponent prime factors to calculate the LCM of 47721 and 47734.

LCM(47721,47734) = 3¹ × 15907¹ × 2¹ × 29¹ × 823¹
LCM(47721,47734) = 2277914214