What is the Least Common Multiple of 41127 and 41147?
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 41127 and 41147 is 1692252669.
LCM(41127,41147) = 1692252669
Least Common Multiple of 41127 and 41147 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41127 and 41147, than apply into the LCM equation.
GCF(41127,41147) = 1
LCM(41127,41147) = ( 41127 × 41147) / 1
LCM(41127,41147) = 1692252669 / 1
LCM(41127,41147) = 1692252669
Least Common Multiple (LCM) of 41127 and 41147 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41127 and 41147. First we will calculate the prime factors of 41127 and 41147.
Prime Factorization of 41127
Prime factors of 41127 are 3, 13709. Prime factorization of 41127 in exponential form is:
41127 = 31 × 137091
Prime Factorization of 41147
Prime factors of 41147 are 23, 1789. Prime factorization of 41147 in exponential form is:
41147 = 231 × 17891
Now multiplying the highest exponent prime factors to calculate the LCM of 41127 and 41147.
LCM(41127,41147) = 31 × 137091 × 231 × 17891
LCM(41127,41147) = 1692252669
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