What is the Least Common Multiple of 8275 and 8279?
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 8275 and 8279 is 68508725.
LCM(8275,8279) = 68508725
Least Common Multiple of 8275 and 8279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8275 and 8279, than apply into the LCM equation.
GCF(8275,8279) = 1
LCM(8275,8279) = ( 8275 × 8279) / 1
LCM(8275,8279) = 68508725 / 1
LCM(8275,8279) = 68508725
Least Common Multiple (LCM) of 8275 and 8279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8275 and 8279. First we will calculate the prime factors of 8275 and 8279.
Prime Factorization of 8275
Prime factors of 8275 are 5, 331. Prime factorization of 8275 in exponential form is:
8275 = 52 × 3311
Prime Factorization of 8279
Prime factors of 8279 are 17, 487. Prime factorization of 8279 in exponential form is:
8279 = 171 × 4871
Now multiplying the highest exponent prime factors to calculate the LCM of 8275 and 8279.
LCM(8275,8279) = 52 × 3311 × 171 × 4871
LCM(8275,8279) = 68508725
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