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What is the Least Common Multiple of 13520 and 13532?

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 13520 and 13532 is 45738160.

LCM(13520,13532) = 45738160

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Least Common Multiple of 13520 and 13532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13520 and 13532, than apply into the LCM equation.

GCF(13520,13532) = 4
LCM(13520,13532) = ( 13520 × 13532) / 4
LCM(13520,13532) = 182952640 / 4
LCM(13520,13532) = 45738160

Least Common Multiple (LCM) of 13520 and 13532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13520 and 13532. First we will calculate the prime factors of 13520 and 13532.

Prime Factorization of 13520

Prime factors of 13520 are 2, 5, 13. Prime factorization of 13520 in exponential form is:

13520 = 24 × 51 × 132

Prime Factorization of 13532

Prime factors of 13532 are 2, 17, 199. Prime factorization of 13532 in exponential form is:

13532 = 22 × 171 × 1991

Now multiplying the highest exponent prime factors to calculate the LCM of 13520 and 13532.

LCM(13520,13532) = 24 × 51 × 132 × 171 × 1991
LCM(13520,13532) = 45738160