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What is the Least Common Multiple of 10232 and 10236?

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 10232 and 10236 is 26183688.

LCM(10232,10236) = 26183688

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Least Common Multiple of 10232 and 10236 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 10232 and 10236, than apply into the LCM equation.

GCF(10232,10236) = 4
LCM(10232,10236) = ( 10232 × 10236) / 4
LCM(10232,10236) = 104734752 / 4
LCM(10232,10236) = 26183688

Least Common Multiple (LCM) of 10232 and 10236 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 10232 and 10236. First we will calculate the prime factors of 10232 and 10236.

Prime Factorization of 10232

Prime factors of 10232 are 2, 1279. Prime factorization of 10232 in exponential form is:

10232 = 23 × 12791

Prime Factorization of 10236

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

10236 = 22 × 31 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 10232 and 10236.

LCM(10232,10236) = 23 × 12791 × 31 × 8531
LCM(10232,10236) = 26183688