What is the Least Common Multiple of 93871 and 93882?
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 93871 and 93882 is 8812797222.
LCM(93871,93882) = 8812797222
Least Common Multiple of 93871 and 93882 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93871 and 93882, than apply into the LCM equation.
GCF(93871,93882) = 1
LCM(93871,93882) = ( 93871 × 93882) / 1
LCM(93871,93882) = 8812797222 / 1
LCM(93871,93882) = 8812797222
Least Common Multiple (LCM) of 93871 and 93882 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 93871 and 93882. First we will calculate the prime factors of 93871 and 93882.
Prime Factorization of 93871
Prime factors of 93871 are 93871. Prime factorization of 93871 in exponential form is:
93871 = 938711
Prime Factorization of 93882
Prime factors of 93882 are 2, 3, 15647. Prime factorization of 93882 in exponential form is:
93882 = 21 × 31 × 156471
Now multiplying the highest exponent prime factors to calculate the LCM of 93871 and 93882.
LCM(93871,93882) = 938711 × 21 × 31 × 156471
LCM(93871,93882) = 8812797222
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