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What is the Least Common Multiple of 13560 and 13567?

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 13560 and 13567 is 183968520.

LCM(13560,13567) = 183968520

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Least Common Multiple of 13560 and 13567 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13560 and 13567, than apply into the LCM equation.

GCF(13560,13567) = 1
LCM(13560,13567) = ( 13560 × 13567) / 1
LCM(13560,13567) = 183968520 / 1
LCM(13560,13567) = 183968520

Least Common Multiple (LCM) of 13560 and 13567 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 13560 and 13567. First we will calculate the prime factors of 13560 and 13567.

Prime Factorization of 13560

Prime factors of 13560 are 2, 3, 5, 113. Prime factorization of 13560 in exponential form is:

13560 = 23 × 31 × 51 × 1131

Prime Factorization of 13567

Prime factors of 13567 are 13567. Prime factorization of 13567 in exponential form is:

13567 = 135671

Now multiplying the highest exponent prime factors to calculate the LCM of 13560 and 13567.

LCM(13560,13567) = 23 × 31 × 51 × 1131 × 135671
LCM(13560,13567) = 183968520