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What is the Least Common Multiple of 63093 and 63110?

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 63093 and 63110 is 3981799230.

LCM(63093,63110) = 3981799230

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Least Common Multiple of 63093 and 63110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63093 and 63110, than apply into the LCM equation.

GCF(63093,63110) = 1
LCM(63093,63110) = ( 63093 × 63110) / 1
LCM(63093,63110) = 3981799230 / 1
LCM(63093,63110) = 3981799230

Least Common Multiple (LCM) of 63093 and 63110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63093 and 63110. First we will calculate the prime factors of 63093 and 63110.

Prime Factorization of 63093

Prime factors of 63093 are 3, 21031. Prime factorization of 63093 in exponential form is:

63093 = 31 × 210311

Prime Factorization of 63110

Prime factors of 63110 are 2, 5, 6311. Prime factorization of 63110 in exponential form is:

63110 = 21 × 51 × 63111

Now multiplying the highest exponent prime factors to calculate the LCM of 63093 and 63110.

LCM(63093,63110) = 31 × 210311 × 21 × 51 × 63111
LCM(63093,63110) = 3981799230