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What is the Least Common Multiple of 13048 and 13062?

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 13048 and 13062 is 12173784.

LCM(13048,13062) = 12173784

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Least Common Multiple of 13048 and 13062 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13048 and 13062, than apply into the LCM equation.

GCF(13048,13062) = 14
LCM(13048,13062) = ( 13048 × 13062) / 14
LCM(13048,13062) = 170432976 / 14
LCM(13048,13062) = 12173784

Least Common Multiple (LCM) of 13048 and 13062 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13048 and 13062. First we will calculate the prime factors of 13048 and 13062.

Prime Factorization of 13048

Prime factors of 13048 are 2, 7, 233. Prime factorization of 13048 in exponential form is:

13048 = 23 × 71 × 2331

Prime Factorization of 13062

Prime factors of 13062 are 2, 3, 7, 311. Prime factorization of 13062 in exponential form is:

13062 = 21 × 31 × 71 × 3111

Now multiplying the highest exponent prime factors to calculate the LCM of 13048 and 13062.

LCM(13048,13062) = 23 × 71 × 2331 × 31 × 3111
LCM(13048,13062) = 12173784