GCF and LCM Calculator Logo

What is the Least Common Multiple of 8251 and 8270?

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 8251 and 8270 is 68235770.

LCM(8251,8270) = 68235770

LCM Calculator and
and

Least Common Multiple of 8251 and 8270 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8251 and 8270, than apply into the LCM equation.

GCF(8251,8270) = 1
LCM(8251,8270) = ( 8251 × 8270) / 1
LCM(8251,8270) = 68235770 / 1
LCM(8251,8270) = 68235770

Least Common Multiple (LCM) of 8251 and 8270 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8251 and 8270. First we will calculate the prime factors of 8251 and 8270.

Prime Factorization of 8251

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

8251 = 371 × 2231

Prime Factorization of 8270

Prime factors of 8270 are 2, 5, 827. Prime factorization of 8270 in exponential form is:

8270 = 21 × 51 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 8251 and 8270.

LCM(8251,8270) = 371 × 2231 × 21 × 51 × 8271
LCM(8251,8270) = 68235770