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What is the Least Common Multiple of 13529 and 13534?

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 13529 and 13534 is 183101486.

LCM(13529,13534) = 183101486

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Least Common Multiple of 13529 and 13534 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13529 and 13534, than apply into the LCM equation.

GCF(13529,13534) = 1
LCM(13529,13534) = ( 13529 × 13534) / 1
LCM(13529,13534) = 183101486 / 1
LCM(13529,13534) = 183101486

Least Common Multiple (LCM) of 13529 and 13534 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13529 and 13534. First we will calculate the prime factors of 13529 and 13534.

Prime Factorization of 13529

Prime factors of 13529 are 83, 163. Prime factorization of 13529 in exponential form is:

13529 = 831 × 1631

Prime Factorization of 13534

Prime factors of 13534 are 2, 67, 101. Prime factorization of 13534 in exponential form is:

13534 = 21 × 671 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 13529 and 13534.

LCM(13529,13534) = 831 × 1631 × 21 × 671 × 1011
LCM(13529,13534) = 183101486