What is the Least Common Multiple of 32343 and 32359?
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 32343 and 32359 is 1046587137.
LCM(32343,32359) = 1046587137
Least Common Multiple of 32343 and 32359 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32343 and 32359, than apply into the LCM equation.
GCF(32343,32359) = 1
LCM(32343,32359) = ( 32343 × 32359) / 1
LCM(32343,32359) = 1046587137 / 1
LCM(32343,32359) = 1046587137
Least Common Multiple (LCM) of 32343 and 32359 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 32343 and 32359. First we will calculate the prime factors of 32343 and 32359.
Prime Factorization of 32343
Prime factors of 32343 are 3, 10781. Prime factorization of 32343 in exponential form is:
32343 = 31 × 107811
Prime Factorization of 32359
Prime factors of 32359 are 32359. Prime factorization of 32359 in exponential form is:
32359 = 323591
Now multiplying the highest exponent prime factors to calculate the LCM of 32343 and 32359.
LCM(32343,32359) = 31 × 107811 × 323591
LCM(32343,32359) = 1046587137
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