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What is the Least Common Multiple of 63151 and 63155?

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 63151 and 63155 is 3988301405.

LCM(63151,63155) = 3988301405

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Least Common Multiple of 63151 and 63155 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63151 and 63155, than apply into the LCM equation.

GCF(63151,63155) = 1
LCM(63151,63155) = ( 63151 × 63155) / 1
LCM(63151,63155) = 3988301405 / 1
LCM(63151,63155) = 3988301405

Least Common Multiple (LCM) of 63151 and 63155 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63151 and 63155. First we will calculate the prime factors of 63151 and 63155.

Prime Factorization of 63151

Prime factors of 63151 are 11, 5741. Prime factorization of 63151 in exponential form is:

63151 = 111 × 57411

Prime Factorization of 63155

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

63155 = 51 × 171 × 7431

Now multiplying the highest exponent prime factors to calculate the LCM of 63151 and 63155.

LCM(63151,63155) = 111 × 57411 × 51 × 171 × 7431
LCM(63151,63155) = 3988301405