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What is the Least Common Multiple of 63157 and 63173?

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 63157 and 63173 is 3989817161.

LCM(63157,63173) = 3989817161

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Least Common Multiple of 63157 and 63173 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63157 and 63173, than apply into the LCM equation.

GCF(63157,63173) = 1
LCM(63157,63173) = ( 63157 × 63173) / 1
LCM(63157,63173) = 3989817161 / 1
LCM(63157,63173) = 3989817161

Least Common Multiple (LCM) of 63157 and 63173 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63157 and 63173. First we will calculate the prime factors of 63157 and 63173.

Prime Factorization of 63157

Prime factors of 63157 are 137, 461. Prime factorization of 63157 in exponential form is:

63157 = 1371 × 4611

Prime Factorization of 63173

Prime factors of 63173 are 11, 5743. Prime factorization of 63173 in exponential form is:

63173 = 111 × 57431

Now multiplying the highest exponent prime factors to calculate the LCM of 63157 and 63173.

LCM(63157,63173) = 1371 × 4611 × 111 × 57431
LCM(63157,63173) = 3989817161