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What is the Least Common Multiple of 63422 and 63431?

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 63422 and 63431 is 4022920882.

LCM(63422,63431) = 4022920882

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Least Common Multiple of 63422 and 63431 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63422 and 63431, than apply into the LCM equation.

GCF(63422,63431) = 1
LCM(63422,63431) = ( 63422 × 63431) / 1
LCM(63422,63431) = 4022920882 / 1
LCM(63422,63431) = 4022920882

Least Common Multiple (LCM) of 63422 and 63431 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63422 and 63431. First we will calculate the prime factors of 63422 and 63431.

Prime Factorization of 63422

Prime factors of 63422 are 2, 19, 1669. Prime factorization of 63422 in exponential form is:

63422 = 21 × 191 × 16691

Prime Factorization of 63431

Prime factors of 63431 are 137, 463. Prime factorization of 63431 in exponential form is:

63431 = 1371 × 4631

Now multiplying the highest exponent prime factors to calculate the LCM of 63422 and 63431.

LCM(63422,63431) = 21 × 191 × 16691 × 1371 × 4631
LCM(63422,63431) = 4022920882