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What is the Least Common Multiple of 64481 and 64487?

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 64481 and 64487 is 4158186247.

LCM(64481,64487) = 4158186247

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Least Common Multiple of 64481 and 64487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64481 and 64487, than apply into the LCM equation.

GCF(64481,64487) = 1
LCM(64481,64487) = ( 64481 × 64487) / 1
LCM(64481,64487) = 4158186247 / 1
LCM(64481,64487) = 4158186247

Least Common Multiple (LCM) of 64481 and 64487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64481 and 64487. First we will calculate the prime factors of 64481 and 64487.

Prime Factorization of 64481

Prime factors of 64481 are 17, 3793. Prime factorization of 64481 in exponential form is:

64481 = 171 × 37931

Prime Factorization of 64487

Prime factors of 64487 are 59, 1093. Prime factorization of 64487 in exponential form is:

64487 = 591 × 10931

Now multiplying the highest exponent prime factors to calculate the LCM of 64481 and 64487.

LCM(64481,64487) = 171 × 37931 × 591 × 10931
LCM(64481,64487) = 4158186247