What is the Least Common Multiple of 8232 and 8249?

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 8232 and 8249 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8232 and 8249, than apply into the LCM equation.

GCF(8232,8249) = 1
LCM(8232,8249) = ( 8232 × 8249) / 1
LCM(8232,8249) = 67905768 / 1
LCM(8232,8249) = 67905768

Least Common Multiple (LCM) of 8232 and 8249 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8232 and 8249. First we will calculate the prime factors of 8232 and 8249.

Prime Factorization of 8232

Prime Factorization of 8249

Now multiplying the highest exponent prime factors to calculate the LCM of 8232 and 8249.

LCM(8232,8249) = 2³ × 3¹ × 7³ × 73¹ × 113¹
LCM(8232,8249) = 67905768