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What is the Least Common Multiple of 10236 and 10248?

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 10236 and 10248 is 8741544.

LCM(10236,10248) = 8741544

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Least Common Multiple of 10236 and 10248 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10236 and 10248, than apply into the LCM equation.

GCF(10236,10248) = 12
LCM(10236,10248) = ( 10236 × 10248) / 12
LCM(10236,10248) = 104898528 / 12
LCM(10236,10248) = 8741544

Least Common Multiple (LCM) of 10236 and 10248 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10236 and 10248. First we will calculate the prime factors of 10236 and 10248.

Prime Factorization of 10236

Prime factors of 10236 are 2, 3, 853. Prime factorization of 10236 in exponential form is:

10236 = 22 × 31 × 8531

Prime Factorization of 10248

Prime factors of 10248 are 2, 3, 7, 61. Prime factorization of 10248 in exponential form is:

10248 = 23 × 31 × 71 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 10236 and 10248.

LCM(10236,10248) = 23 × 31 × 8531 × 71 × 611
LCM(10236,10248) = 8741544