What is the Least Common Multiple of 13609 and 13615?
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 13609 and 13615 is 185286535.
LCM(13609,13615) = 185286535
Least Common Multiple of 13609 and 13615 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13609 and 13615, than apply into the LCM equation.
GCF(13609,13615) = 1
LCM(13609,13615) = ( 13609 × 13615) / 1
LCM(13609,13615) = 185286535 / 1
LCM(13609,13615) = 185286535
Least Common Multiple (LCM) of 13609 and 13615 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13609 and 13615. First we will calculate the prime factors of 13609 and 13615.
Prime Factorization of 13609
Prime factors of 13609 are 31, 439. Prime factorization of 13609 in exponential form is:
13609 = 311 × 4391
Prime Factorization of 13615
Prime factors of 13615 are 5, 7, 389. Prime factorization of 13615 in exponential form is:
13615 = 51 × 71 × 3891
Now multiplying the highest exponent prime factors to calculate the LCM of 13609 and 13615.
LCM(13609,13615) = 311 × 4391 × 51 × 71 × 3891
LCM(13609,13615) = 185286535
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