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What is the Least Common Multiple of 63484 and 63493?

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 63484 and 63493 is 4030789612.

LCM(63484,63493) = 4030789612

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Least Common Multiple of 63484 and 63493 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63484 and 63493, than apply into the LCM equation.

GCF(63484,63493) = 1
LCM(63484,63493) = ( 63484 × 63493) / 1
LCM(63484,63493) = 4030789612 / 1
LCM(63484,63493) = 4030789612

Least Common Multiple (LCM) of 63484 and 63493 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63484 and 63493. First we will calculate the prime factors of 63484 and 63493.

Prime Factorization of 63484

Prime factors of 63484 are 2, 59, 269. Prime factorization of 63484 in exponential form is:

63484 = 22 × 591 × 2691

Prime Factorization of 63493

Prime factors of 63493 are 63493. Prime factorization of 63493 in exponential form is:

63493 = 634931

Now multiplying the highest exponent prime factors to calculate the LCM of 63484 and 63493.

LCM(63484,63493) = 22 × 591 × 2691 × 634931
LCM(63484,63493) = 4030789612