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What is the Least Common Multiple of 64429 and 64440?

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 64429 and 64440 is 4151804760.

LCM(64429,64440) = 4151804760

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Least Common Multiple of 64429 and 64440 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64429 and 64440, than apply into the LCM equation.

GCF(64429,64440) = 1
LCM(64429,64440) = ( 64429 × 64440) / 1
LCM(64429,64440) = 4151804760 / 1
LCM(64429,64440) = 4151804760

Least Common Multiple (LCM) of 64429 and 64440 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64429 and 64440. First we will calculate the prime factors of 64429 and 64440.

Prime Factorization of 64429

Prime factors of 64429 are 19, 3391. Prime factorization of 64429 in exponential form is:

64429 = 191 × 33911

Prime Factorization of 64440

Prime factors of 64440 are 2, 3, 5, 179. Prime factorization of 64440 in exponential form is:

64440 = 23 × 32 × 51 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 64429 and 64440.

LCM(64429,64440) = 191 × 33911 × 23 × 32 × 51 × 1791
LCM(64429,64440) = 4151804760