What is the Least Common Multiple of 82600 and 82617?

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 82600 and 82617 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82600 and 82617, than apply into the LCM equation.

GCF(82600,82617) = 1
LCM(82600,82617) = ( 82600 × 82617) / 1
LCM(82600,82617) = 6824164200 / 1
LCM(82600,82617) = 6824164200

Least Common Multiple (LCM) of 82600 and 82617 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82600 and 82617. First we will calculate the prime factors of 82600 and 82617.

Prime Factorization of 82600

Prime Factorization of 82617

Now multiplying the highest exponent prime factors to calculate the LCM of 82600 and 82617.

LCM(82600,82617) = 2³ × 5² × 7¹ × 59¹ × 3¹ × 27539¹
LCM(82600,82617) = 6824164200