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What is the Least Common Multiple of 64254 and 64269?

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 64254 and 64269 is 1376513442.

LCM(64254,64269) = 1376513442

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Least Common Multiple of 64254 and 64269 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64254 and 64269, than apply into the LCM equation.

GCF(64254,64269) = 3
LCM(64254,64269) = ( 64254 × 64269) / 3
LCM(64254,64269) = 4129540326 / 3
LCM(64254,64269) = 1376513442

Least Common Multiple (LCM) of 64254 and 64269 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64254 and 64269. First we will calculate the prime factors of 64254 and 64269.

Prime Factorization of 64254

Prime factors of 64254 are 2, 3, 10709. Prime factorization of 64254 in exponential form is:

64254 = 21 × 31 × 107091

Prime Factorization of 64269

Prime factors of 64269 are 3, 37, 193. Prime factorization of 64269 in exponential form is:

64269 = 32 × 371 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 64254 and 64269.

LCM(64254,64269) = 21 × 32 × 107091 × 371 × 1931
LCM(64254,64269) = 1376513442