What is the Least Common Multiple of 82234 and 82249?

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 82234 and 82249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 82234 and 82249, than apply into the LCM equation.

GCF(82234,82249) = 1
LCM(82234,82249) = ( 82234 × 82249) / 1
LCM(82234,82249) = 6763664266 / 1
LCM(82234,82249) = 6763664266

Least Common Multiple (LCM) of 82234 and 82249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 82234 and 82249. First we will calculate the prime factors of 82234 and 82249.

Prime Factorization of 82234

Prime Factorization of 82249

Now multiplying the highest exponent prime factors to calculate the LCM of 82234 and 82249.

LCM(82234,82249) = 2¹ × 41117¹ × 233¹ × 353¹
LCM(82234,82249) = 6763664266