What is the Least Common Multiple of 13733 and 13743?
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 13743 is 188732619.
LCM(13733,13743) = 188732619
Least Common Multiple of 13733 and 13743 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 13743, than apply into the LCM equation.
GCF(13733,13743) = 1
LCM(13733,13743) = ( 13733 × 13743) / 1
LCM(13733,13743) = 188732619 / 1
LCM(13733,13743) = 188732619
Least Common Multiple (LCM) of 13733 and 13743 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13733 and 13743. First we will calculate the prime factors of 13733 and 13743.
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 13743
Prime factors of 13743 are 3, 509. Prime factorization of 13743 in exponential form is:
13743 = 33 × 5091
Now multiplying the highest exponent prime factors to calculate the LCM of 13733 and 13743.
LCM(13733,13743) = 311 × 4431 × 33 × 5091
LCM(13733,13743) = 188732619
Related Least Common Multiples of 13733
- LCM of 13733 and 13737
- LCM of 13733 and 13738
- LCM of 13733 and 13739
- LCM of 13733 and 13740
- LCM of 13733 and 13741
- LCM of 13733 and 13742
- LCM of 13733 and 13743
- LCM of 13733 and 13744
- LCM of 13733 and 13745
- LCM of 13733 and 13746
- LCM of 13733 and 13747
- LCM of 13733 and 13748
- LCM of 13733 and 13749
- LCM of 13733 and 13750
- LCM of 13733 and 13751
- LCM of 13733 and 13752
- LCM of 13733 and 13753
Related Least Common Multiples of 13743
- LCM of 13743 and 13747
- LCM of 13743 and 13748
- LCM of 13743 and 13749
- LCM of 13743 and 13750
- LCM of 13743 and 13751
- LCM of 13743 and 13752
- LCM of 13743 and 13753
- LCM of 13743 and 13754
- LCM of 13743 and 13755
- LCM of 13743 and 13756
- LCM of 13743 and 13757
- LCM of 13743 and 13758
- LCM of 13743 and 13759
- LCM of 13743 and 13760
- LCM of 13743 and 13761
- LCM of 13743 and 13762
- LCM of 13743 and 13763