What is the Least Common Multiple of 4127 and 4145?
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 4127 and 4145 is 17106415.
LCM(4127,4145) = 17106415
Least Common Multiple of 4127 and 4145 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4127 and 4145, than apply into the LCM equation.
GCF(4127,4145) = 1
LCM(4127,4145) = ( 4127 × 4145) / 1
LCM(4127,4145) = 17106415 / 1
LCM(4127,4145) = 17106415
Least Common Multiple (LCM) of 4127 and 4145 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 4127 and 4145. First we will calculate the prime factors of 4127 and 4145.
Prime Factorization of 4127
Prime factors of 4127 are 4127. Prime factorization of 4127 in exponential form is:
4127 = 41271
Prime Factorization of 4145
Prime factors of 4145 are 5, 829. Prime factorization of 4145 in exponential form is:
4145 = 51 × 8291
Now multiplying the highest exponent prime factors to calculate the LCM of 4127 and 4145.
LCM(4127,4145) = 41271 × 51 × 8291
LCM(4127,4145) = 17106415
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