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What is the Least Common Multiple of 13245 and 13264?

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 13245 and 13264 is 175681680.

LCM(13245,13264) = 175681680

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Least Common Multiple of 13245 and 13264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13245 and 13264, than apply into the LCM equation.

GCF(13245,13264) = 1
LCM(13245,13264) = ( 13245 × 13264) / 1
LCM(13245,13264) = 175681680 / 1
LCM(13245,13264) = 175681680

Least Common Multiple (LCM) of 13245 and 13264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13245 and 13264. First we will calculate the prime factors of 13245 and 13264.

Prime Factorization of 13245

Prime factors of 13245 are 3, 5, 883. Prime factorization of 13245 in exponential form is:

13245 = 31 × 51 × 8831

Prime Factorization of 13264

Prime factors of 13264 are 2, 829. Prime factorization of 13264 in exponential form is:

13264 = 24 × 8291

Now multiplying the highest exponent prime factors to calculate the LCM of 13245 and 13264.

LCM(13245,13264) = 31 × 51 × 8831 × 24 × 8291
LCM(13245,13264) = 175681680