What is the Least Common Multiple of 13733 and 13741?
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 13733 and 13741 is 188705153.
LCM(13733,13741) = 188705153
Least Common Multiple of 13733 and 13741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13733 and 13741, than apply into the LCM equation.
GCF(13733,13741) = 1
LCM(13733,13741) = ( 13733 × 13741) / 1
LCM(13733,13741) = 188705153 / 1
LCM(13733,13741) = 188705153
Least Common Multiple (LCM) of 13733 and 13741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13733 and 13741. First we will calculate the prime factors of 13733 and 13741.
Prime Factorization of 13733
Prime factors of 13733 are 31, 443. Prime factorization of 13733 in exponential form is:
13733 = 311 × 4431
Prime Factorization of 13741
Prime factors of 13741 are 7, 13, 151. Prime factorization of 13741 in exponential form is:
13741 = 71 × 131 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 13733 and 13741.
LCM(13733,13741) = 311 × 4431 × 71 × 131 × 1511
LCM(13733,13741) = 188705153
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Related Least Common Multiples of 13741
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