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What is the Least Common Multiple of 63064 and 63077?

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 63064 and 63077 is 3977887928.

LCM(63064,63077) = 3977887928

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Least Common Multiple of 63064 and 63077 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 63064 and 63077, than apply into the LCM equation.

GCF(63064,63077) = 1
LCM(63064,63077) = ( 63064 × 63077) / 1
LCM(63064,63077) = 3977887928 / 1
LCM(63064,63077) = 3977887928

Least Common Multiple (LCM) of 63064 and 63077 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63064 and 63077. First we will calculate the prime factors of 63064 and 63077.

Prime Factorization of 63064

Prime factors of 63064 are 2, 7883. Prime factorization of 63064 in exponential form is:

63064 = 23 × 78831

Prime Factorization of 63077

Prime factors of 63077 are 7, 9011. Prime factorization of 63077 in exponential form is:

63077 = 71 × 90111

Now multiplying the highest exponent prime factors to calculate the LCM of 63064 and 63077.

LCM(63064,63077) = 23 × 78831 × 71 × 90111
LCM(63064,63077) = 3977887928