What is the Least Common Multiple of 41386 and 41391?
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 41386 and 41391 is 1713007926.
LCM(41386,41391) = 1713007926
Least Common Multiple of 41386 and 41391 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41386 and 41391, than apply into the LCM equation.
GCF(41386,41391) = 1
LCM(41386,41391) = ( 41386 × 41391) / 1
LCM(41386,41391) = 1713007926 / 1
LCM(41386,41391) = 1713007926
Least Common Multiple (LCM) of 41386 and 41391 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41386 and 41391. First we will calculate the prime factors of 41386 and 41391.
Prime Factorization of 41386
Prime factors of 41386 are 2, 20693. Prime factorization of 41386 in exponential form is:
41386 = 21 × 206931
Prime Factorization of 41391
Prime factors of 41391 are 3, 7, 73. Prime factorization of 41391 in exponential form is:
41391 = 34 × 71 × 731
Now multiplying the highest exponent prime factors to calculate the LCM of 41386 and 41391.
LCM(41386,41391) = 21 × 206931 × 34 × 71 × 731
LCM(41386,41391) = 1713007926
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