What is the Least Common Multiple of 40867 and 40871?
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 40867 and 40871 is 1670275157.
LCM(40867,40871) = 1670275157
Least Common Multiple of 40867 and 40871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 40867 and 40871, than apply into the LCM equation.
GCF(40867,40871) = 1
LCM(40867,40871) = ( 40867 × 40871) / 1
LCM(40867,40871) = 1670275157 / 1
LCM(40867,40871) = 1670275157
Least Common Multiple (LCM) of 40867 and 40871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 40867 and 40871. First we will calculate the prime factors of 40867 and 40871.
Prime Factorization of 40867
Prime factors of 40867 are 40867. Prime factorization of 40867 in exponential form is:
40867 = 408671
Prime Factorization of 40871
Prime factors of 40871 are 23, 1777. Prime factorization of 40871 in exponential form is:
40871 = 231 × 17771
Now multiplying the highest exponent prime factors to calculate the LCM of 40867 and 40871.
LCM(40867,40871) = 408671 × 231 × 17771
LCM(40867,40871) = 1670275157
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