What is the Least Common Multiple of 13574 and 13584?
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 13574 and 13584 is 92194608.
LCM(13574,13584) = 92194608
Least Common Multiple of 13574 and 13584 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13574 and 13584, than apply into the LCM equation.
GCF(13574,13584) = 2
LCM(13574,13584) = ( 13574 × 13584) / 2
LCM(13574,13584) = 184389216 / 2
LCM(13574,13584) = 92194608
Least Common Multiple (LCM) of 13574 and 13584 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13574 and 13584. First we will calculate the prime factors of 13574 and 13584.
Prime Factorization of 13574
Prime factors of 13574 are 2, 11, 617. Prime factorization of 13574 in exponential form is:
13574 = 21 × 111 × 6171
Prime Factorization of 13584
Prime factors of 13584 are 2, 3, 283. Prime factorization of 13584 in exponential form is:
13584 = 24 × 31 × 2831
Now multiplying the highest exponent prime factors to calculate the LCM of 13574 and 13584.
LCM(13574,13584) = 24 × 111 × 6171 × 31 × 2831
LCM(13574,13584) = 92194608
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Related Least Common Multiples of 13584
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