What is the Least Common Multiple of 59327 and 59341?
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 59327 and 59341 is 3520523507.
LCM(59327,59341) = 3520523507
Least Common Multiple of 59327 and 59341 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 59327 and 59341, than apply into the LCM equation.
GCF(59327,59341) = 1
LCM(59327,59341) = ( 59327 × 59341) / 1
LCM(59327,59341) = 3520523507 / 1
LCM(59327,59341) = 3520523507
Least Common Multiple (LCM) of 59327 and 59341 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 59327 and 59341. First we will calculate the prime factors of 59327 and 59341.
Prime Factorization of 59327
Prime factors of 59327 are 41, 1447. Prime factorization of 59327 in exponential form is:
59327 = 411 × 14471
Prime Factorization of 59341
Prime factors of 59341 are 59341. Prime factorization of 59341 in exponential form is:
59341 = 593411
Now multiplying the highest exponent prime factors to calculate the LCM of 59327 and 59341.
LCM(59327,59341) = 411 × 14471 × 593411
LCM(59327,59341) = 3520523507
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