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What is the Least Common Multiple of 63470 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 63470 and 63487 is 4029519890.

LCM(63470,63487) = 4029519890

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Least Common Multiple of 63470 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 63470 and 63487, than apply into the LCM equation.

GCF(63470,63487) = 1
LCM(63470,63487) = ( 63470 × 63487) / 1
LCM(63470,63487) = 4029519890 / 1
LCM(63470,63487) = 4029519890

Least Common Multiple (LCM) of 63470 and 63487 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63470 and 63487. First we will calculate the prime factors of 63470 and 63487.

Prime Factorization of 63470

Prime factors of 63470 are 2, 5, 11, 577. Prime factorization of 63470 in exponential form is:

63470 = 21 × 51 × 111 × 5771

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 63470 and 63487.

LCM(63470,63487) = 21 × 51 × 111 × 5771 × 634871
LCM(63470,63487) = 4029519890