What is the Least Common Multiple of 47782 and 47797?

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 47782 and 47797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 47782 and 47797, than apply into the LCM equation.

GCF(47782,47797) = 1
LCM(47782,47797) = ( 47782 × 47797) / 1
LCM(47782,47797) = 2283836254 / 1
LCM(47782,47797) = 2283836254

Least Common Multiple (LCM) of 47782 and 47797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 47782 and 47797. First we will calculate the prime factors of 47782 and 47797.

Prime Factorization of 47782

Prime Factorization of 47797

Now multiplying the highest exponent prime factors to calculate the LCM of 47782 and 47797.

LCM(47782,47797) = 2¹ × 7¹ × 3413¹ × 47797¹
LCM(47782,47797) = 2283836254