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What is the Least Common Multiple of 64194 and 64209?

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 64194 and 64209 is 1373944182.

LCM(64194,64209) = 1373944182

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Least Common Multiple of 64194 and 64209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64194 and 64209, than apply into the LCM equation.

GCF(64194,64209) = 3
LCM(64194,64209) = ( 64194 × 64209) / 3
LCM(64194,64209) = 4121832546 / 3
LCM(64194,64209) = 1373944182

Least Common Multiple (LCM) of 64194 and 64209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64194 and 64209. First we will calculate the prime factors of 64194 and 64209.

Prime Factorization of 64194

Prime factors of 64194 are 2, 3, 13, 823. Prime factorization of 64194 in exponential form is:

64194 = 21 × 31 × 131 × 8231

Prime Factorization of 64209

Prime factors of 64209 are 3, 17, 1259. Prime factorization of 64209 in exponential form is:

64209 = 31 × 171 × 12591

Now multiplying the highest exponent prime factors to calculate the LCM of 64194 and 64209.

LCM(64194,64209) = 21 × 31 × 131 × 8231 × 171 × 12591
LCM(64194,64209) = 1373944182