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What is the Least Common Multiple of 63478 and 63487?

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 63478 and 63487 is 4030027786.

LCM(63478,63487) = 4030027786

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Least Common Multiple of 63478 and 63487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63478 and 63487, than apply into the LCM equation.

GCF(63478,63487) = 1
LCM(63478,63487) = ( 63478 × 63487) / 1
LCM(63478,63487) = 4030027786 / 1
LCM(63478,63487) = 4030027786

Least Common Multiple (LCM) of 63478 and 63487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63478 and 63487. First we will calculate the prime factors of 63478 and 63487.

Prime Factorization of 63478

Prime factors of 63478 are 2, 17, 1867. Prime factorization of 63478 in exponential form is:

63478 = 21 × 171 × 18671

Prime Factorization of 63487

Prime factors of 63487 are 63487. Prime factorization of 63487 in exponential form is:

63487 = 634871

Now multiplying the highest exponent prime factors to calculate the LCM of 63478 and 63487.

LCM(63478,63487) = 21 × 171 × 18671 × 634871
LCM(63478,63487) = 4030027786