What is the Least Common Multiple of 83228 and 83248?

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 83228 and 83248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83228 and 83248, than apply into the LCM equation.

GCF(83228,83248) = 4
LCM(83228,83248) = ( 83228 × 83248) / 4
LCM(83228,83248) = 6928564544 / 4
LCM(83228,83248) = 1732141136

Least Common Multiple (LCM) of 83228 and 83248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83228 and 83248. First we will calculate the prime factors of 83228 and 83248.

Prime Factorization of 83228

Prime Factorization of 83248

Now multiplying the highest exponent prime factors to calculate the LCM of 83228 and 83248.

LCM(83228,83248) = 2⁴ × 20807¹ × 11² × 43¹
LCM(83228,83248) = 1732141136