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What is the Least Common Multiple of 32143 and 32159?

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 32143 and 32159 is 1033686737.

LCM(32143,32159) = 1033686737

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Least Common Multiple of 32143 and 32159 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32143 and 32159, than apply into the LCM equation.

GCF(32143,32159) = 1
LCM(32143,32159) = ( 32143 × 32159) / 1
LCM(32143,32159) = 1033686737 / 1
LCM(32143,32159) = 1033686737

Least Common Multiple (LCM) of 32143 and 32159 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32143 and 32159. First we will calculate the prime factors of 32143 and 32159.

Prime Factorization of 32143

Prime factors of 32143 are 32143. Prime factorization of 32143 in exponential form is:

32143 = 321431

Prime Factorization of 32159

Prime factors of 32159 are 32159. Prime factorization of 32159 in exponential form is:

32159 = 321591

Now multiplying the highest exponent prime factors to calculate the LCM of 32143 and 32159.

LCM(32143,32159) = 321431 × 321591
LCM(32143,32159) = 1033686737