What is the Least Common Multiple of 82578 and 82593?

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 82578 and 82593 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82578 and 82593, than apply into the LCM equation.

GCF(82578,82593) = 3
LCM(82578,82593) = ( 82578 × 82593) / 3
LCM(82578,82593) = 6820364754 / 3
LCM(82578,82593) = 2273454918

Least Common Multiple (LCM) of 82578 and 82593 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82578 and 82593. First we will calculate the prime factors of 82578 and 82593.

Prime Factorization of 82578

Prime Factorization of 82593

Now multiplying the highest exponent prime factors to calculate the LCM of 82578 and 82593.

LCM(82578,82593) = 2¹ × 3³ × 13763¹ × 7¹ × 19¹ × 23¹
LCM(82578,82593) = 2273454918