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What is the Least Common Multiple of 64481 and 64485?

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 64485 is 4158057285.

LCM(64481,64485) = 4158057285

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Least Common Multiple of 64481 and 64485 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 64485, than apply into the LCM equation.

GCF(64481,64485) = 1
LCM(64481,64485) = ( 64481 × 64485) / 1
LCM(64481,64485) = 4158057285 / 1
LCM(64481,64485) = 4158057285

Least Common Multiple (LCM) of 64481 and 64485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64481 and 64485. First we will calculate the prime factors of 64481 and 64485.

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 64485

Prime factors of 64485 are 3, 5, 1433. Prime factorization of 64485 in exponential form is:

64485 = 32 × 51 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 64481 and 64485.

LCM(64481,64485) = 171 × 37931 × 32 × 51 × 14331
LCM(64481,64485) = 4158057285