What is the Least Common Multiple of 13616 and 13632?
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 13616 and 13632 is 11600832.
LCM(13616,13632) = 11600832
Least Common Multiple of 13616 and 13632 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13616 and 13632, than apply into the LCM equation.
GCF(13616,13632) = 16
LCM(13616,13632) = ( 13616 × 13632) / 16
LCM(13616,13632) = 185613312 / 16
LCM(13616,13632) = 11600832
Least Common Multiple (LCM) of 13616 and 13632 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13616 and 13632. First we will calculate the prime factors of 13616 and 13632.
Prime Factorization of 13616
Prime factors of 13616 are 2, 23, 37. Prime factorization of 13616 in exponential form is:
13616 = 24 × 231 × 371
Prime Factorization of 13632
Prime factors of 13632 are 2, 3, 71. Prime factorization of 13632 in exponential form is:
13632 = 26 × 31 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 13616 and 13632.
LCM(13616,13632) = 26 × 231 × 371 × 31 × 711
LCM(13616,13632) = 11600832
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