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What is the Least Common Multiple of 32159 and 32179?

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 32159 and 32179 is 1034844461.

LCM(32159,32179) = 1034844461

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Least Common Multiple of 32159 and 32179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 32159 and 32179, than apply into the LCM equation.

GCF(32159,32179) = 1
LCM(32159,32179) = ( 32159 × 32179) / 1
LCM(32159,32179) = 1034844461 / 1
LCM(32159,32179) = 1034844461

Least Common Multiple (LCM) of 32159 and 32179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 32159 and 32179. First we will calculate the prime factors of 32159 and 32179.

Prime Factorization of 32159

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

32159 = 321591

Prime Factorization of 32179

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

32179 = 71 × 45971

Now multiplying the highest exponent prime factors to calculate the LCM of 32159 and 32179.

LCM(32159,32179) = 321591 × 71 × 45971
LCM(32159,32179) = 1034844461