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What is the Least Common Multiple of 63061 and 63079?

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 63061 and 63079 is 3977824819.

LCM(63061,63079) = 3977824819

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Least Common Multiple of 63061 and 63079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63061 and 63079, than apply into the LCM equation.

GCF(63061,63079) = 1
LCM(63061,63079) = ( 63061 × 63079) / 1
LCM(63061,63079) = 3977824819 / 1
LCM(63061,63079) = 3977824819

Least Common Multiple (LCM) of 63061 and 63079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63061 and 63079. First we will calculate the prime factors of 63061 and 63079.

Prime Factorization of 63061

Prime factors of 63061 are 19, 3319. Prime factorization of 63061 in exponential form is:

63061 = 191 × 33191

Prime Factorization of 63079

Prime factors of 63079 are 63079. Prime factorization of 63079 in exponential form is:

63079 = 630791

Now multiplying the highest exponent prime factors to calculate the LCM of 63061 and 63079.

LCM(63061,63079) = 191 × 33191 × 630791
LCM(63061,63079) = 3977824819