What is the Least Common Multiple of 83232 and 83249?

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 83232 and 83249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 83232 and 83249, than apply into the LCM equation.

GCF(83232,83249) = 17
LCM(83232,83249) = ( 83232 × 83249) / 17
LCM(83232,83249) = 6928980768 / 17
LCM(83232,83249) = 407587104

Least Common Multiple (LCM) of 83232 and 83249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 83232 and 83249. First we will calculate the prime factors of 83232 and 83249.

Prime Factorization of 83232

Prime Factorization of 83249

Now multiplying the highest exponent prime factors to calculate the LCM of 83232 and 83249.

LCM(83232,83249) = 2⁵ × 3² × 17² × 59¹ × 83¹
LCM(83232,83249) = 407587104