What is the Least Common Multiple of 81959 and 81963?

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 81959 and 81963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81959 and 81963, than apply into the LCM equation.

GCF(81959,81963) = 1
LCM(81959,81963) = ( 81959 × 81963) / 1
LCM(81959,81963) = 6717605517 / 1
LCM(81959,81963) = 6717605517

Least Common Multiple (LCM) of 81959 and 81963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81959 and 81963. First we will calculate the prime factors of 81959 and 81963.

Prime Factorization of 81959

Prime Factorization of 81963

Now multiplying the highest exponent prime factors to calculate the LCM of 81959 and 81963.

LCM(81959,81963) = 41¹ × 1999¹ × 3² × 7¹ × 1301¹
LCM(81959,81963) = 6717605517