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What is the Least Common Multiple of 63155 and 63162?

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 63155 and 63162 is 3988996110.

LCM(63155,63162) = 3988996110

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Least Common Multiple of 63155 and 63162 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63155 and 63162, than apply into the LCM equation.

GCF(63155,63162) = 1
LCM(63155,63162) = ( 63155 × 63162) / 1
LCM(63155,63162) = 3988996110 / 1
LCM(63155,63162) = 3988996110

Least Common Multiple (LCM) of 63155 and 63162 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63155 and 63162. First we will calculate the prime factors of 63155 and 63162.

Prime Factorization of 63155

Prime factors of 63155 are 5, 17, 743. Prime factorization of 63155 in exponential form is:

63155 = 51 × 171 × 7431

Prime Factorization of 63162

Prime factors of 63162 are 2, 3, 11, 29. Prime factorization of 63162 in exponential form is:

63162 = 21 × 32 × 112 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 63155 and 63162.

LCM(63155,63162) = 51 × 171 × 7431 × 21 × 32 × 112 × 291
LCM(63155,63162) = 3988996110