What is the Least Common Multiple of 41277 and 41293?
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 41293 is 1704451161.
LCM(41277,41293) = 1704451161
Least Common Multiple of 41277 and 41293 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 41293, than apply into the LCM equation.
GCF(41277,41293) = 1
LCM(41277,41293) = ( 41277 × 41293) / 1
LCM(41277,41293) = 1704451161 / 1
LCM(41277,41293) = 1704451161
Least Common Multiple (LCM) of 41277 and 41293 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41277 and 41293. First we will calculate the prime factors of 41277 and 41293.
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 41293
Prime factors of 41293 are 7, 17, 347. Prime factorization of 41293 in exponential form is:
41293 = 71 × 171 × 3471
Now multiplying the highest exponent prime factors to calculate the LCM of 41277 and 41293.
LCM(41277,41293) = 31 × 137591 × 71 × 171 × 3471
LCM(41277,41293) = 1704451161
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