What is the Least Common Multiple of 8279 and 8286?
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 8279 and 8286 is 68599794.
LCM(8279,8286) = 68599794
Least Common Multiple of 8279 and 8286 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8279 and 8286, than apply into the LCM equation.
GCF(8279,8286) = 1
LCM(8279,8286) = ( 8279 × 8286) / 1
LCM(8279,8286) = 68599794 / 1
LCM(8279,8286) = 68599794
Least Common Multiple (LCM) of 8279 and 8286 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8279 and 8286. First we will calculate the prime factors of 8279 and 8286.
Prime Factorization of 8279
Prime factors of 8279 are 17, 487. Prime factorization of 8279 in exponential form is:
8279 = 171 × 4871
Prime Factorization of 8286
Prime factors of 8286 are 2, 3, 1381. Prime factorization of 8286 in exponential form is:
8286 = 21 × 31 × 13811
Now multiplying the highest exponent prime factors to calculate the LCM of 8279 and 8286.
LCM(8279,8286) = 171 × 4871 × 21 × 31 × 13811
LCM(8279,8286) = 68599794
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