What is the Least Common Multiple of 82644 and 82660?

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 82644 and 82660 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82644 and 82660, than apply into the LCM equation.

GCF(82644,82660) = 4
LCM(82644,82660) = ( 82644 × 82660) / 4
LCM(82644,82660) = 6831353040 / 4
LCM(82644,82660) = 1707838260

Least Common Multiple (LCM) of 82644 and 82660 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82644 and 82660. First we will calculate the prime factors of 82644 and 82660.

Prime Factorization of 82644

Prime Factorization of 82660

Now multiplying the highest exponent prime factors to calculate the LCM of 82644 and 82660.

LCM(82644,82660) = 2² × 3¹ × 71¹ × 97¹ × 5¹ × 4133¹
LCM(82644,82660) = 1707838260