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What is the Least Common Multiple of 64161 and 64179?

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 64161 and 64179 is 457532091.

LCM(64161,64179) = 457532091

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Least Common Multiple of 64161 and 64179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64161 and 64179, than apply into the LCM equation.

GCF(64161,64179) = 9
LCM(64161,64179) = ( 64161 × 64179) / 9
LCM(64161,64179) = 4117788819 / 9
LCM(64161,64179) = 457532091

Least Common Multiple (LCM) of 64161 and 64179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64161 and 64179. First we will calculate the prime factors of 64161 and 64179.

Prime Factorization of 64161

Prime factors of 64161 are 3, 7129. Prime factorization of 64161 in exponential form is:

64161 = 32 × 71291

Prime Factorization of 64179

Prime factors of 64179 are 3, 2377. Prime factorization of 64179 in exponential form is:

64179 = 33 × 23771

Now multiplying the highest exponent prime factors to calculate the LCM of 64161 and 64179.

LCM(64161,64179) = 33 × 71291 × 23771
LCM(64161,64179) = 457532091