What is the Least Common Multiple of 82684 and 82704?

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 82684 and 82704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82684 and 82704, than apply into the LCM equation.

GCF(82684,82704) = 4
LCM(82684,82704) = ( 82684 × 82704) / 4
LCM(82684,82704) = 6838297536 / 4
LCM(82684,82704) = 1709574384

Least Common Multiple (LCM) of 82684 and 82704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82684 and 82704. First we will calculate the prime factors of 82684 and 82704.

Prime Factorization of 82684

Prime Factorization of 82704

Now multiplying the highest exponent prime factors to calculate the LCM of 82684 and 82704.

LCM(82684,82704) = 2⁴ × 7¹ × 2953¹ × 3¹ × 1723¹
LCM(82684,82704) = 1709574384