What is the Least Common Multiple of 41267 and 41279?
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 41267 and 41279 is 1703460493.
LCM(41267,41279) = 1703460493
Least Common Multiple of 41267 and 41279 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41267 and 41279, than apply into the LCM equation.
GCF(41267,41279) = 1
LCM(41267,41279) = ( 41267 × 41279) / 1
LCM(41267,41279) = 1703460493 / 1
LCM(41267,41279) = 1703460493
Least Common Multiple (LCM) of 41267 and 41279 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41267 and 41279. First we will calculate the prime factors of 41267 and 41279.
Prime Factorization of 41267
Prime factors of 41267 are 29, 1423. Prime factorization of 41267 in exponential form is:
41267 = 291 × 14231
Prime Factorization of 41279
Prime factors of 41279 are 7, 5897. Prime factorization of 41279 in exponential form is:
41279 = 71 × 58971
Now multiplying the highest exponent prime factors to calculate the LCM of 41267 and 41279.
LCM(41267,41279) = 291 × 14231 × 71 × 58971
LCM(41267,41279) = 1703460493
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