What is the Least Common Multiple of 82623 and 82638?

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 82623 and 82638 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82623 and 82638, than apply into the LCM equation.

GCF(82623,82638) = 3
LCM(82623,82638) = ( 82623 × 82638) / 3
LCM(82623,82638) = 6827799474 / 3
LCM(82623,82638) = 2275933158

Least Common Multiple (LCM) of 82623 and 82638 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82623 and 82638. First we will calculate the prime factors of 82623 and 82638.

Prime Factorization of 82623

Prime Factorization of 82638

Now multiplying the highest exponent prime factors to calculate the LCM of 82623 and 82638.

LCM(82623,82638) = 3² × 27541¹ × 2¹ × 4591¹
LCM(82623,82638) = 2275933158