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What is the Least Common Multiple of 63469 and 63485?

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 63469 and 63485 is 4029329465.

LCM(63469,63485) = 4029329465

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Least Common Multiple of 63469 and 63485 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63469 and 63485, than apply into the LCM equation.

GCF(63469,63485) = 1
LCM(63469,63485) = ( 63469 × 63485) / 1
LCM(63469,63485) = 4029329465 / 1
LCM(63469,63485) = 4029329465

Least Common Multiple (LCM) of 63469 and 63485 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63469 and 63485. First we will calculate the prime factors of 63469 and 63485.

Prime Factorization of 63469

Prime factors of 63469 are 7, 9067. Prime factorization of 63469 in exponential form is:

63469 = 71 × 90671

Prime Factorization of 63485

Prime factors of 63485 are 5, 12697. Prime factorization of 63485 in exponential form is:

63485 = 51 × 126971

Now multiplying the highest exponent prime factors to calculate the LCM of 63469 and 63485.

LCM(63469,63485) = 71 × 90671 × 51 × 126971
LCM(63469,63485) = 4029329465