What is the Least Common Multiple of 41277 and 41287?
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 41277 and 41287 is 1704203499.
LCM(41277,41287) = 1704203499
Least Common Multiple of 41277 and 41287 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41277 and 41287, than apply into the LCM equation.
GCF(41277,41287) = 1
LCM(41277,41287) = ( 41277 × 41287) / 1
LCM(41277,41287) = 1704203499 / 1
LCM(41277,41287) = 1704203499
Least Common Multiple (LCM) of 41277 and 41287 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41277 and 41287. First we will calculate the prime factors of 41277 and 41287.
Prime Factorization of 41277
Prime factors of 41277 are 3, 13759. Prime factorization of 41277 in exponential form is:
41277 = 31 × 137591
Prime Factorization of 41287
Prime factors of 41287 are 19, 41, 53. Prime factorization of 41287 in exponential form is:
41287 = 191 × 411 × 531
Now multiplying the highest exponent prime factors to calculate the LCM of 41277 and 41287.
LCM(41277,41287) = 31 × 137591 × 191 × 411 × 531
LCM(41277,41287) = 1704203499
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