What is the Least Common Multiple of 82638 and 82654?

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 82638 and 82654 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82638 and 82654, than apply into the LCM equation.

GCF(82638,82654) = 2
LCM(82638,82654) = ( 82638 × 82654) / 2
LCM(82638,82654) = 6830361252 / 2
LCM(82638,82654) = 3415180626

Least Common Multiple (LCM) of 82638 and 82654 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82638 and 82654. First we will calculate the prime factors of 82638 and 82654.

Prime Factorization of 82638

Prime Factorization of 82654

Now multiplying the highest exponent prime factors to calculate the LCM of 82638 and 82654.

LCM(82638,82654) = 2¹ × 3² × 4591¹ × 11¹ × 13¹ × 17²
LCM(82638,82654) = 3415180626