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What is the Least Common Multiple of 13453 and 13464?

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 13453 and 13464 is 16466472.

LCM(13453,13464) = 16466472

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Least Common Multiple of 13453 and 13464 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13453 and 13464, than apply into the LCM equation.

GCF(13453,13464) = 11
LCM(13453,13464) = ( 13453 × 13464) / 11
LCM(13453,13464) = 181131192 / 11
LCM(13453,13464) = 16466472

Least Common Multiple (LCM) of 13453 and 13464 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13453 and 13464. First we will calculate the prime factors of 13453 and 13464.

Prime Factorization of 13453

Prime factors of 13453 are 11, 1223. Prime factorization of 13453 in exponential form is:

13453 = 111 × 12231

Prime Factorization of 13464

Prime factors of 13464 are 2, 3, 11, 17. Prime factorization of 13464 in exponential form is:

13464 = 23 × 32 × 111 × 171

Now multiplying the highest exponent prime factors to calculate the LCM of 13453 and 13464.

LCM(13453,13464) = 111 × 12231 × 23 × 32 × 171
LCM(13453,13464) = 16466472