What is the Least Common Multiple of 13608 and 13616?
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 13608 and 13616 is 23160816.
LCM(13608,13616) = 23160816
Least Common Multiple of 13608 and 13616 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13608 and 13616, than apply into the LCM equation.
GCF(13608,13616) = 8
LCM(13608,13616) = ( 13608 × 13616) / 8
LCM(13608,13616) = 185286528 / 8
LCM(13608,13616) = 23160816
Least Common Multiple (LCM) of 13608 and 13616 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13608 and 13616. First we will calculate the prime factors of 13608 and 13616.
Prime Factorization of 13608
Prime factors of 13608 are 2, 3, 7. Prime factorization of 13608 in exponential form is:
13608 = 23 × 35 × 71
Prime Factorization of 13616
Prime factors of 13616 are 2, 23, 37. Prime factorization of 13616 in exponential form is:
13616 = 24 × 231 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 13608 and 13616.
LCM(13608,13616) = 24 × 35 × 71 × 231 × 371
LCM(13608,13616) = 23160816
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