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What is the Least Common Multiple of 63064 and 63076?

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 63076 is 994456216.

LCM(63064,63076) = 994456216

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Least Common Multiple of 63064 and 63076 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 63076, than apply into the LCM equation.

GCF(63064,63076) = 4
LCM(63064,63076) = ( 63064 × 63076) / 4
LCM(63064,63076) = 3977824864 / 4
LCM(63064,63076) = 994456216

Least Common Multiple (LCM) of 63064 and 63076 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 63064 and 63076. First we will calculate the prime factors of 63064 and 63076.

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 63076

Prime factors of 63076 are 2, 13, 1213. Prime factorization of 63076 in exponential form is:

63076 = 22 × 131 × 12131

Now multiplying the highest exponent prime factors to calculate the LCM of 63064 and 63076.

LCM(63064,63076) = 23 × 78831 × 131 × 12131
LCM(63064,63076) = 994456216