What is the Least Common Multiple of 13684 and 13688?
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 13684 and 13688 is 46826648.
LCM(13684,13688) = 46826648
Least Common Multiple of 13684 and 13688 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13684 and 13688, than apply into the LCM equation.
GCF(13684,13688) = 4
LCM(13684,13688) = ( 13684 × 13688) / 4
LCM(13684,13688) = 187306592 / 4
LCM(13684,13688) = 46826648
Least Common Multiple (LCM) of 13684 and 13688 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13684 and 13688. First we will calculate the prime factors of 13684 and 13688.
Prime Factorization of 13684
Prime factors of 13684 are 2, 11, 311. Prime factorization of 13684 in exponential form is:
13684 = 22 × 111 × 3111
Prime Factorization of 13688
Prime factors of 13688 are 2, 29, 59. Prime factorization of 13688 in exponential form is:
13688 = 23 × 291 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 13684 and 13688.
LCM(13684,13688) = 23 × 111 × 3111 × 291 × 591
LCM(13684,13688) = 46826648
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