What is the Least Common Multiple of 82536 and 82554?

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 82536 and 82554 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82536 and 82554, than apply into the LCM equation.

GCF(82536,82554) = 6
LCM(82536,82554) = ( 82536 × 82554) / 6
LCM(82536,82554) = 6813676944 / 6
LCM(82536,82554) = 1135612824

Least Common Multiple (LCM) of 82536 and 82554 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82536 and 82554. First we will calculate the prime factors of 82536 and 82554.

Prime Factorization of 82536

Prime Factorization of 82554

Now multiplying the highest exponent prime factors to calculate the LCM of 82536 and 82554.

LCM(82536,82554) = 2³ × 3¹ × 19¹ × 181¹ × 13759¹
LCM(82536,82554) = 1135612824