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What is the Least Common Multiple of 5054 and 5060?

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 5060 is 12786620.

LCM(5054,5060) = 12786620

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Least Common Multiple of 5054 and 5060 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 5060, than apply into the LCM equation.

GCF(5054,5060) = 2
LCM(5054,5060) = ( 5054 × 5060) / 2
LCM(5054,5060) = 25573240 / 2
LCM(5054,5060) = 12786620

Least Common Multiple (LCM) of 5054 and 5060 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5054 and 5060. First we will calculate the prime factors of 5054 and 5060.

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 5060

Prime factors of 5060 are 2, 5, 11, 23. Prime factorization of 5060 in exponential form is:

5060 = 22 × 51 × 111 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 5054 and 5060.

LCM(5054,5060) = 22 × 71 × 192 × 51 × 111 × 231
LCM(5054,5060) = 12786620