GCF and LCM Calculator Logo

What is the Least Common Multiple of 8232 and 8251?

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 (LCM) of 8232 and 8251 is 67922232.

LCM(8232,8251) = 67922232

LCM Calculator and
and

Least Common Multiple of 8232 and 8251 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 8251, than apply into the LCM equation.

GCF(8232,8251) = 1
LCM(8232,8251) = ( 8232 × 8251) / 1
LCM(8232,8251) = 67922232 / 1
LCM(8232,8251) = 67922232

Least Common Multiple (LCM) of 8232 and 8251 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8232 and 8251. First we will calculate the prime factors of 8232 and 8251.

Prime Factorization of 8232

Prime factors of 8232 are 2, 3, 7. Prime factorization of 8232 in exponential form is:

8232 = 23 × 31 × 73

Prime Factorization of 8251

Prime factors of 8251 are 37, 223. Prime factorization of 8251 in exponential form is:

8251 = 371 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 8232 and 8251.

LCM(8232,8251) = 23 × 31 × 73 × 371 × 2231
LCM(8232,8251) = 67922232