What is the Least Common Multiple of 83782 and 83797?

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 83782 and 83797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83782 and 83797, than apply into the LCM equation.

GCF(83782,83797) = 1
LCM(83782,83797) = ( 83782 × 83797) / 1
LCM(83782,83797) = 7020680254 / 1
LCM(83782,83797) = 7020680254

Least Common Multiple (LCM) of 83782 and 83797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83782 and 83797. First we will calculate the prime factors of 83782 and 83797.

Prime Factorization of 83782

Prime Factorization of 83797

Now multiplying the highest exponent prime factors to calculate the LCM of 83782 and 83797.

LCM(83782,83797) = 2¹ × 163¹ × 257¹ × 7¹ × 11971¹
LCM(83782,83797) = 7020680254