What is the Least Common Multiple of 83225 and 83243?

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 83225 and 83243 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83225 and 83243, than apply into the LCM equation.

GCF(83225,83243) = 1
LCM(83225,83243) = ( 83225 × 83243) / 1
LCM(83225,83243) = 6927898675 / 1
LCM(83225,83243) = 6927898675

Least Common Multiple (LCM) of 83225 and 83243 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83225 and 83243. First we will calculate the prime factors of 83225 and 83243.

Prime Factorization of 83225

Prime Factorization of 83243

Now multiplying the highest exponent prime factors to calculate the LCM of 83225 and 83243.

LCM(83225,83243) = 5² × 3329¹ × 83243¹
LCM(83225,83243) = 6927898675