What is the Least Common Multiple of 81963 and 81975?

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 81963 and 81975 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81963 and 81975, than apply into the LCM equation.

GCF(81963,81975) = 3
LCM(81963,81975) = ( 81963 × 81975) / 3
LCM(81963,81975) = 6718916925 / 3
LCM(81963,81975) = 2239638975

Least Common Multiple (LCM) of 81963 and 81975 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81963 and 81975. First we will calculate the prime factors of 81963 and 81975.

Prime Factorization of 81963

Prime Factorization of 81975

Now multiplying the highest exponent prime factors to calculate the LCM of 81963 and 81975.

LCM(81963,81975) = 3² × 7¹ × 1301¹ × 5² × 1093¹
LCM(81963,81975) = 2239638975