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What is the Least Common Multiple of 64535 and 64543?

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 64535 and 64543 is 4165282505.

LCM(64535,64543) = 4165282505

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Least Common Multiple of 64535 and 64543 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64535 and 64543, than apply into the LCM equation.

GCF(64535,64543) = 1
LCM(64535,64543) = ( 64535 × 64543) / 1
LCM(64535,64543) = 4165282505 / 1
LCM(64535,64543) = 4165282505

Least Common Multiple (LCM) of 64535 and 64543 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64535 and 64543. First we will calculate the prime factors of 64535 and 64543.

Prime Factorization of 64535

Prime factors of 64535 are 5, 12907. Prime factorization of 64535 in exponential form is:

64535 = 51 × 129071

Prime Factorization of 64543

Prime factors of 64543 are 19, 43, 79. Prime factorization of 64543 in exponential form is:

64543 = 191 × 431 × 791

Now multiplying the highest exponent prime factors to calculate the LCM of 64535 and 64543.

LCM(64535,64543) = 51 × 129071 × 191 × 431 × 791
LCM(64535,64543) = 4165282505