What is the Least Common Multiple of 92871 and 92876?
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 92876 is 8625486996.
LCM(92871,92876) = 8625486996
Least Common Multiple of 92871 and 92876 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 92876, than apply into the LCM equation.
GCF(92871,92876) = 1
LCM(92871,92876) = ( 92871 × 92876) / 1
LCM(92871,92876) = 8625486996 / 1
LCM(92871,92876) = 8625486996
Least Common Multiple (LCM) of 92871 and 92876 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 92871 and 92876. First we will calculate the prime factors of 92871 and 92876.
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 92876
Prime factors of 92876 are 2, 7, 31, 107. Prime factorization of 92876 in exponential form is:
92876 = 22 × 71 × 311 × 1071
Now multiplying the highest exponent prime factors to calculate the LCM of 92871 and 92876.
LCM(92871,92876) = 32 × 171 × 6071 × 22 × 71 × 311 × 1071
LCM(92871,92876) = 8625486996
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