What is the Least Common Multiple of 82557 and 82566?

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 82557 and 82566 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82557 and 82566, than apply into the LCM equation.

GCF(82557,82566) = 9
LCM(82557,82566) = ( 82557 × 82566) / 9
LCM(82557,82566) = 6816401262 / 9
LCM(82557,82566) = 757377918

Least Common Multiple (LCM) of 82557 and 82566 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82557 and 82566. First we will calculate the prime factors of 82557 and 82566.

Prime Factorization of 82557

Prime Factorization of 82566

Now multiplying the highest exponent prime factors to calculate the LCM of 82557 and 82566.

LCM(82557,82566) = 3³ × 9173¹ × 2¹ × 11¹ × 139¹
LCM(82557,82566) = 757377918