What is the Least Common Multiple of 41277 and 41295?
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 41295 is 568177905.
LCM(41277,41295) = 568177905
Least Common Multiple of 41277 and 41295 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 41295, than apply into the LCM equation.
GCF(41277,41295) = 3
LCM(41277,41295) = ( 41277 × 41295) / 3
LCM(41277,41295) = 1704533715 / 3
LCM(41277,41295) = 568177905
Least Common Multiple (LCM) of 41277 and 41295 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41277 and 41295. First we will calculate the prime factors of 41277 and 41295.
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 41295
Prime factors of 41295 are 3, 5, 2753. Prime factorization of 41295 in exponential form is:
41295 = 31 × 51 × 27531
Now multiplying the highest exponent prime factors to calculate the LCM of 41277 and 41295.
LCM(41277,41295) = 31 × 137591 × 51 × 27531
LCM(41277,41295) = 568177905
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