What is the Least Common Multiple of 82644 and 82657?

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 82657 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 82657, than apply into the LCM equation.

GCF(82644,82657) = 1
LCM(82644,82657) = ( 82644 × 82657) / 1
LCM(82644,82657) = 6831105108 / 1
LCM(82644,82657) = 6831105108

Least Common Multiple (LCM) of 82644 and 82657 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82644 and 82657. First we will calculate the prime factors of 82644 and 82657.

Prime Factorization of 82644

Prime Factorization of 82657

Now multiplying the highest exponent prime factors to calculate the LCM of 82644 and 82657.

LCM(82644,82657) = 2² × 3¹ × 71¹ × 97¹ × 82657¹
LCM(82644,82657) = 6831105108