What is the Least Common Multiple of 8277 and 8281?
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 8277 and 8281 is 68541837.
LCM(8277,8281) = 68541837
Least Common Multiple of 8277 and 8281 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8277 and 8281, than apply into the LCM equation.
GCF(8277,8281) = 1
LCM(8277,8281) = ( 8277 × 8281) / 1
LCM(8277,8281) = 68541837 / 1
LCM(8277,8281) = 68541837
Least Common Multiple (LCM) of 8277 and 8281 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8277 and 8281. First we will calculate the prime factors of 8277 and 8281.
Prime Factorization of 8277
Prime factors of 8277 are 3, 31, 89. Prime factorization of 8277 in exponential form is:
8277 = 31 × 311 × 891
Prime Factorization of 8281
Prime factors of 8281 are 7, 13. Prime factorization of 8281 in exponential form is:
8281 = 72 × 132
Now multiplying the highest exponent prime factors to calculate the LCM of 8277 and 8281.
LCM(8277,8281) = 31 × 311 × 891 × 72 × 132
LCM(8277,8281) = 68541837
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