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What is the Least Common Multiple of 5054 and 5064?

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 5054 and 5064 is 12796728.

LCM(5054,5064) = 12796728

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Least Common Multiple of 5054 and 5064 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5054 and 5064, than apply into the LCM equation.

GCF(5054,5064) = 2
LCM(5054,5064) = ( 5054 × 5064) / 2
LCM(5054,5064) = 25593456 / 2
LCM(5054,5064) = 12796728

Least Common Multiple (LCM) of 5054 and 5064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5054 and 5064. First we will calculate the prime factors of 5054 and 5064.

Prime Factorization of 5054

Prime factors of 5054 are 2, 7, 19. Prime factorization of 5054 in exponential form is:

5054 = 21 × 71 × 192

Prime Factorization of 5064

Prime factors of 5064 are 2, 3, 211. Prime factorization of 5064 in exponential form is:

5064 = 23 × 31 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 5054 and 5064.

LCM(5054,5064) = 23 × 71 × 192 × 31 × 2111
LCM(5054,5064) = 12796728