What is the Least Common Multiple of 81783 and 81797?

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 81783 and 81797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81783 and 81797, than apply into the LCM equation.

GCF(81783,81797) = 1
LCM(81783,81797) = ( 81783 × 81797) / 1
LCM(81783,81797) = 6689604051 / 1
LCM(81783,81797) = 6689604051

Least Common Multiple (LCM) of 81783 and 81797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81783 and 81797. First we will calculate the prime factors of 81783 and 81797.

Prime Factorization of 81783

Prime Factorization of 81797

Now multiplying the highest exponent prime factors to calculate the LCM of 81783 and 81797.

LCM(81783,81797) = 3³ × 13¹ × 233¹ × 157¹ × 521¹
LCM(81783,81797) = 6689604051