GCF and LCM Calculator Logo

What is the Least Common Multiple of 8264 and 8280?

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 8264 and 8280 is 8553240.

LCM(8264,8280) = 8553240

LCM Calculator and
and

Least Common Multiple of 8264 and 8280 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8264 and 8280, than apply into the LCM equation.

GCF(8264,8280) = 8
LCM(8264,8280) = ( 8264 × 8280) / 8
LCM(8264,8280) = 68425920 / 8
LCM(8264,8280) = 8553240

Least Common Multiple (LCM) of 8264 and 8280 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 8264 and 8280. First we will calculate the prime factors of 8264 and 8280.

Prime Factorization of 8264

Prime factors of 8264 are 2, 1033. Prime factorization of 8264 in exponential form is:

8264 = 23 × 10331

Prime Factorization of 8280

Prime factors of 8280 are 2, 3, 5, 23. Prime factorization of 8280 in exponential form is:

8280 = 23 × 32 × 51 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 8264 and 8280.

LCM(8264,8280) = 23 × 10331 × 32 × 51 × 231
LCM(8264,8280) = 8553240