What is the Least Common Multiple of 13784 and 13792?
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 13784 and 13792 is 23763616.
LCM(13784,13792) = 23763616
Least Common Multiple of 13784 and 13792 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13784 and 13792, than apply into the LCM equation.
GCF(13784,13792) = 8
LCM(13784,13792) = ( 13784 × 13792) / 8
LCM(13784,13792) = 190108928 / 8
LCM(13784,13792) = 23763616
Least Common Multiple (LCM) of 13784 and 13792 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13784 and 13792. First we will calculate the prime factors of 13784 and 13792.
Prime Factorization of 13784
Prime factors of 13784 are 2, 1723. Prime factorization of 13784 in exponential form is:
13784 = 23 × 17231
Prime Factorization of 13792
Prime factors of 13792 are 2, 431. Prime factorization of 13792 in exponential form is:
13792 = 25 × 4311
Now multiplying the highest exponent prime factors to calculate the LCM of 13784 and 13792.
LCM(13784,13792) = 25 × 17231 × 4311
LCM(13784,13792) = 23763616
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