What is the Least Common Multiple of 81963 and 81972?

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 81972 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 81972, than apply into the LCM equation.

GCF(81963,81972) = 9
LCM(81963,81972) = ( 81963 × 81972) / 9
LCM(81963,81972) = 6718671036 / 9
LCM(81963,81972) = 746519004

Least Common Multiple (LCM) of 81963 and 81972 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81963 and 81972. First we will calculate the prime factors of 81963 and 81972.

Prime Factorization of 81963

Prime Factorization of 81972

Now multiplying the highest exponent prime factors to calculate the LCM of 81963 and 81972.

LCM(81963,81972) = 3⁴ × 7¹ × 1301¹ × 2² × 11¹ × 23¹
LCM(81963,81972) = 746519004