What is the Least Common Multiple of 81743 and 81761?

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 81743 and 81761 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81743 and 81761, than apply into the LCM equation.

GCF(81743,81761) = 1
LCM(81743,81761) = ( 81743 × 81761) / 1
LCM(81743,81761) = 6683389423 / 1
LCM(81743,81761) = 6683389423

Least Common Multiple (LCM) of 81743 and 81761 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81743 and 81761. First we will calculate the prime factors of 81743 and 81761.

Prime Factorization of 81743

Prime Factorization of 81761

Now multiplying the highest exponent prime factors to calculate the LCM of 81743 and 81761.

LCM(81743,81761) = 43¹ × 1901¹ × 81761¹
LCM(81743,81761) = 6683389423