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What is the Least Common Multiple of 64414 and 64430?

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 64414 and 64430 is 2075097010.

LCM(64414,64430) = 2075097010

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Least Common Multiple of 64414 and 64430 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64414 and 64430, than apply into the LCM equation.

GCF(64414,64430) = 2
LCM(64414,64430) = ( 64414 × 64430) / 2
LCM(64414,64430) = 4150194020 / 2
LCM(64414,64430) = 2075097010

Least Common Multiple (LCM) of 64414 and 64430 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64414 and 64430. First we will calculate the prime factors of 64414 and 64430.

Prime Factorization of 64414

Prime factors of 64414 are 2, 7, 43, 107. Prime factorization of 64414 in exponential form is:

64414 = 21 × 71 × 431 × 1071

Prime Factorization of 64430

Prime factors of 64430 are 2, 5, 17, 379. Prime factorization of 64430 in exponential form is:

64430 = 21 × 51 × 171 × 3791

Now multiplying the highest exponent prime factors to calculate the LCM of 64414 and 64430.

LCM(64414,64430) = 21 × 71 × 431 × 1071 × 51 × 171 × 3791
LCM(64414,64430) = 2075097010