What is the Least Common Multiple of 8277 and 8285?
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 8285 is 68574945.
LCM(8277,8285) = 68574945
Least Common Multiple of 8277 and 8285 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 8285, than apply into the LCM equation.
GCF(8277,8285) = 1
LCM(8277,8285) = ( 8277 × 8285) / 1
LCM(8277,8285) = 68574945 / 1
LCM(8277,8285) = 68574945
Least Common Multiple (LCM) of 8277 and 8285 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8277 and 8285. First we will calculate the prime factors of 8277 and 8285.
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 8285
Prime factors of 8285 are 5, 1657. Prime factorization of 8285 in exponential form is:
8285 = 51 × 16571
Now multiplying the highest exponent prime factors to calculate the LCM of 8277 and 8285.
LCM(8277,8285) = 31 × 311 × 891 × 51 × 16571
LCM(8277,8285) = 68574945
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