What is the Least Common Multiple of 66861 and 66871?
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 66861 and 66871 is 4471061931.
LCM(66861,66871) = 4471061931
Least Common Multiple of 66861 and 66871 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66861 and 66871, than apply into the LCM equation.
GCF(66861,66871) = 1
LCM(66861,66871) = ( 66861 × 66871) / 1
LCM(66861,66871) = 4471061931 / 1
LCM(66861,66871) = 4471061931
Least Common Multiple (LCM) of 66861 and 66871 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66861 and 66871. First we will calculate the prime factors of 66861 and 66871.
Prime Factorization of 66861
Prime factors of 66861 are 3, 17, 19, 23. Prime factorization of 66861 in exponential form is:
66861 = 32 × 171 × 191 × 231
Prime Factorization of 66871
Prime factors of 66871 are 7, 41, 233. Prime factorization of 66871 in exponential form is:
66871 = 71 × 411 × 2331
Now multiplying the highest exponent prime factors to calculate the LCM of 66861 and 66871.
LCM(66861,66871) = 32 × 171 × 191 × 231 × 71 × 411 × 2331
LCM(66861,66871) = 4471061931
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