What is the Least Common Multiple of 41371 and 41381?
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 41371 and 41381 is 1711973351.
LCM(41371,41381) = 1711973351
Least Common Multiple of 41371 and 41381 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41371 and 41381, than apply into the LCM equation.
GCF(41371,41381) = 1
LCM(41371,41381) = ( 41371 × 41381) / 1
LCM(41371,41381) = 1711973351 / 1
LCM(41371,41381) = 1711973351
Least Common Multiple (LCM) of 41371 and 41381 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 41371 and 41381. First we will calculate the prime factors of 41371 and 41381.
Prime Factorization of 41371
Prime factors of 41371 are 11, 3761. Prime factorization of 41371 in exponential form is:
41371 = 111 × 37611
Prime Factorization of 41381
Prime factors of 41381 are 41381. Prime factorization of 41381 in exponential form is:
41381 = 413811
Now multiplying the highest exponent prime factors to calculate the LCM of 41371 and 41381.
LCM(41371,41381) = 111 × 37611 × 413811
LCM(41371,41381) = 1711973351
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