What is the Least Common Multiple of 82668 and 82683?

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 82668 and 82683 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82668 and 82683, than apply into the LCM equation.

GCF(82668,82683) = 3
LCM(82668,82683) = ( 82668 × 82683) / 3
LCM(82668,82683) = 6835238244 / 3
LCM(82668,82683) = 2278412748

Least Common Multiple (LCM) of 82668 and 82683 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82668 and 82683. First we will calculate the prime factors of 82668 and 82683.

Prime Factorization of 82668

Prime Factorization of 82683

Now multiplying the highest exponent prime factors to calculate the LCM of 82668 and 82683.

LCM(82668,82683) = 2² × 3² × 83² × 9187¹
LCM(82668,82683) = 2278412748