What is the Least Common Multiple of 92871 and 92886?
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 92871 and 92886 is 2875471902.
LCM(92871,92886) = 2875471902
Least Common Multiple of 92871 and 92886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92871 and 92886, than apply into the LCM equation.
GCF(92871,92886) = 3
LCM(92871,92886) = ( 92871 × 92886) / 3
LCM(92871,92886) = 8626415706 / 3
LCM(92871,92886) = 2875471902
Least Common Multiple (LCM) of 92871 and 92886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92871 and 92886. First we will calculate the prime factors of 92871 and 92886.
Prime Factorization of 92871
Prime factors of 92871 are 3, 17, 607. Prime factorization of 92871 in exponential form is:
92871 = 32 × 171 × 6071
Prime Factorization of 92886
Prime factors of 92886 are 2, 3, 113, 137. Prime factorization of 92886 in exponential form is:
92886 = 21 × 31 × 1131 × 1371
Now multiplying the highest exponent prime factors to calculate the LCM of 92871 and 92886.
LCM(92871,92886) = 32 × 171 × 6071 × 21 × 1131 × 1371
LCM(92871,92886) = 2875471902
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