What is the Least Common Multiple of 82192 and 82204?

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 82192 and 82204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82192 and 82204, than apply into the LCM equation.

GCF(82192,82204) = 4
LCM(82192,82204) = ( 82192 × 82204) / 4
LCM(82192,82204) = 6756511168 / 4
LCM(82192,82204) = 1689127792

Least Common Multiple (LCM) of 82192 and 82204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82192 and 82204. First we will calculate the prime factors of 82192 and 82204.

Prime Factorization of 82192

Prime Factorization of 82204

Now multiplying the highest exponent prime factors to calculate the LCM of 82192 and 82204.

LCM(82192,82204) = 2⁴ × 11¹ × 467¹ × 20551¹
LCM(82192,82204) = 1689127792