What is the Least Common Multiple of 82674 and 82678?

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 82674 and 82678 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82674 and 82678, than apply into the LCM equation.

GCF(82674,82678) = 2
LCM(82674,82678) = ( 82674 × 82678) / 2
LCM(82674,82678) = 6835320972 / 2
LCM(82674,82678) = 3417660486

Least Common Multiple (LCM) of 82674 and 82678 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82674 and 82678. First we will calculate the prime factors of 82674 and 82678.

Prime Factorization of 82674

Prime Factorization of 82678

Now multiplying the highest exponent prime factors to calculate the LCM of 82674 and 82678.

LCM(82674,82678) = 2¹ × 3³ × 1531¹ × 67¹ × 617¹
LCM(82674,82678) = 3417660486