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What is the Least Common Multiple of 32179 and 32191?

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 32179 and 32191 is 1035874189.

LCM(32179,32191) = 1035874189

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Least Common Multiple of 32179 and 32191 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32179 and 32191, than apply into the LCM equation.

GCF(32179,32191) = 1
LCM(32179,32191) = ( 32179 × 32191) / 1
LCM(32179,32191) = 1035874189 / 1
LCM(32179,32191) = 1035874189

Least Common Multiple (LCM) of 32179 and 32191 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32179 and 32191. First we will calculate the prime factors of 32179 and 32191.

Prime Factorization of 32179

Prime factors of 32179 are 7, 4597. Prime factorization of 32179 in exponential form is:

32179 = 71 × 45971

Prime Factorization of 32191

Prime factors of 32191 are 32191. Prime factorization of 32191 in exponential form is:

32191 = 321911

Now multiplying the highest exponent prime factors to calculate the LCM of 32179 and 32191.

LCM(32179,32191) = 71 × 45971 × 321911
LCM(32179,32191) = 1035874189