What is the Least Common Multiple of 13563 and 13569?
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 13563 and 13569 is 61345449.
LCM(13563,13569) = 61345449
Least Common Multiple of 13563 and 13569 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13563 and 13569, than apply into the LCM equation.
GCF(13563,13569) = 3
LCM(13563,13569) = ( 13563 × 13569) / 3
LCM(13563,13569) = 184036347 / 3
LCM(13563,13569) = 61345449
Least Common Multiple (LCM) of 13563 and 13569 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13563 and 13569. First we will calculate the prime factors of 13563 and 13569.
Prime Factorization of 13563
Prime factors of 13563 are 3, 11, 137. Prime factorization of 13563 in exponential form is:
13563 = 32 × 111 × 1371
Prime Factorization of 13569
Prime factors of 13569 are 3, 4523. Prime factorization of 13569 in exponential form is:
13569 = 31 × 45231
Now multiplying the highest exponent prime factors to calculate the LCM of 13563 and 13569.
LCM(13563,13569) = 32 × 111 × 1371 × 45231
LCM(13563,13569) = 61345449
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