What is the Least Common Multiple of 8271 and 8288?
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 8271 and 8288 is 68550048.
LCM(8271,8288) = 68550048
Least Common Multiple of 8271 and 8288 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8271 and 8288, than apply into the LCM equation.
GCF(8271,8288) = 1
LCM(8271,8288) = ( 8271 × 8288) / 1
LCM(8271,8288) = 68550048 / 1
LCM(8271,8288) = 68550048
Least Common Multiple (LCM) of 8271 and 8288 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8271 and 8288. First we will calculate the prime factors of 8271 and 8288.
Prime Factorization of 8271
Prime factors of 8271 are 3, 919. Prime factorization of 8271 in exponential form is:
8271 = 32 × 9191
Prime Factorization of 8288
Prime factors of 8288 are 2, 7, 37. Prime factorization of 8288 in exponential form is:
8288 = 25 × 71 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 8271 and 8288.
LCM(8271,8288) = 32 × 9191 × 25 × 71 × 371
LCM(8271,8288) = 68550048
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