What is the Least Common Multiple of 13688 and 13708?
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 13688 and 13708 is 46908776.
LCM(13688,13708) = 46908776
Least Common Multiple of 13688 and 13708 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13688 and 13708, than apply into the LCM equation.
GCF(13688,13708) = 4
LCM(13688,13708) = ( 13688 × 13708) / 4
LCM(13688,13708) = 187635104 / 4
LCM(13688,13708) = 46908776
Least Common Multiple (LCM) of 13688 and 13708 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13688 and 13708. First we will calculate the prime factors of 13688 and 13708.
Prime Factorization of 13688
Prime factors of 13688 are 2, 29, 59. Prime factorization of 13688 in exponential form is:
13688 = 23 × 291 × 591
Prime Factorization of 13708
Prime factors of 13708 are 2, 23, 149. Prime factorization of 13708 in exponential form is:
13708 = 22 × 231 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 13688 and 13708.
LCM(13688,13708) = 23 × 291 × 591 × 231 × 1491
LCM(13688,13708) = 46908776
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