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What is the Least Common Multiple of 63427 and 63442?

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 63427 and 63442 is 4023935734.

LCM(63427,63442) = 4023935734

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Least Common Multiple of 63427 and 63442 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63427 and 63442, than apply into the LCM equation.

GCF(63427,63442) = 1
LCM(63427,63442) = ( 63427 × 63442) / 1
LCM(63427,63442) = 4023935734 / 1
LCM(63427,63442) = 4023935734

Least Common Multiple (LCM) of 63427 and 63442 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63427 and 63442. First we will calculate the prime factors of 63427 and 63442.

Prime Factorization of 63427

Prime factors of 63427 are 7, 13, 17, 41. Prime factorization of 63427 in exponential form is:

63427 = 71 × 131 × 171 × 411

Prime Factorization of 63442

Prime factors of 63442 are 2, 31721. Prime factorization of 63442 in exponential form is:

63442 = 21 × 317211

Now multiplying the highest exponent prime factors to calculate the LCM of 63427 and 63442.

LCM(63427,63442) = 71 × 131 × 171 × 411 × 21 × 317211
LCM(63427,63442) = 4023935734