What is the Least Common Multiple of 82560 and 82578?

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 82560 and 82578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82560 and 82578, than apply into the LCM equation.

GCF(82560,82578) = 6
LCM(82560,82578) = ( 82560 × 82578) / 6
LCM(82560,82578) = 6817639680 / 6
LCM(82560,82578) = 1136273280

Least Common Multiple (LCM) of 82560 and 82578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82560 and 82578. First we will calculate the prime factors of 82560 and 82578.

Prime Factorization of 82560

Prime Factorization of 82578

Now multiplying the highest exponent prime factors to calculate the LCM of 82560 and 82578.

LCM(82560,82578) = 2⁷ × 3¹ × 5¹ × 43¹ × 13763¹
LCM(82560,82578) = 1136273280