What is the Least Common Multiple of 92854 and 92871?
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 92854 and 92871 is 507261402.
LCM(92854,92871) = 507261402
Least Common Multiple of 92854 and 92871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 92854 and 92871, than apply into the LCM equation.
GCF(92854,92871) = 17
LCM(92854,92871) = ( 92854 × 92871) / 17
LCM(92854,92871) = 8623443834 / 17
LCM(92854,92871) = 507261402
Least Common Multiple (LCM) of 92854 and 92871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92854 and 92871. First we will calculate the prime factors of 92854 and 92871.
Prime Factorization of 92854
Prime factors of 92854 are 2, 17, 2731. Prime factorization of 92854 in exponential form is:
92854 = 21 × 171 × 27311
Prime Factorization of 92871
Prime factors of 92871 are 3, 17, 607. Prime factorization of 92871 in exponential form is:
92871 = 32 × 171 × 6071
Now multiplying the highest exponent prime factors to calculate the LCM of 92854 and 92871.
LCM(92854,92871) = 21 × 171 × 27311 × 32 × 6071
LCM(92854,92871) = 507261402
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