What is the Least Common Multiple of 82578 and 82592?

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 82592 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 82592, than apply into the LCM equation.

GCF(82578,82592) = 2
LCM(82578,82592) = ( 82578 × 82592) / 2
LCM(82578,82592) = 6820282176 / 2
LCM(82578,82592) = 3410141088

Least Common Multiple (LCM) of 82578 and 82592 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82578 and 82592. First we will calculate the prime factors of 82578 and 82592.

Prime Factorization of 82578

Prime Factorization of 82592

Now multiplying the highest exponent prime factors to calculate the LCM of 82578 and 82592.

LCM(82578,82592) = 2⁵ × 3¹ × 13763¹ × 29¹ × 89¹
LCM(82578,82592) = 3410141088