What is the Least Common Multiple of 41377 and 41394?
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 41377 and 41394 is 1712759538.
LCM(41377,41394) = 1712759538
Least Common Multiple of 41377 and 41394 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41377 and 41394, than apply into the LCM equation.
GCF(41377,41394) = 1
LCM(41377,41394) = ( 41377 × 41394) / 1
LCM(41377,41394) = 1712759538 / 1
LCM(41377,41394) = 1712759538
Least Common Multiple (LCM) of 41377 and 41394 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41377 and 41394. First we will calculate the prime factors of 41377 and 41394.
Prime Factorization of 41377
Prime factors of 41377 are 7, 23, 257. Prime factorization of 41377 in exponential form is:
41377 = 71 × 231 × 2571
Prime Factorization of 41394
Prime factors of 41394 are 2, 3, 6899. Prime factorization of 41394 in exponential form is:
41394 = 21 × 31 × 68991
Now multiplying the highest exponent prime factors to calculate the LCM of 41377 and 41394.
LCM(41377,41394) = 71 × 231 × 2571 × 21 × 31 × 68991
LCM(41377,41394) = 1712759538
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