What is the Least Common Multiple of 82947 and 82963?

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 82947 and 82963 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82947 and 82963, than apply into the LCM equation.

GCF(82947,82963) = 1
LCM(82947,82963) = ( 82947 × 82963) / 1
LCM(82947,82963) = 6881531961 / 1
LCM(82947,82963) = 6881531961

Least Common Multiple (LCM) of 82947 and 82963 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82947 and 82963. First we will calculate the prime factors of 82947 and 82963.

Prime Factorization of 82947

Prime Factorization of 82963

Now multiplying the highest exponent prime factors to calculate the LCM of 82947 and 82963.

LCM(82947,82963) = 3¹ × 43¹ × 643¹ × 82963¹
LCM(82947,82963) = 6881531961