What is the Least Common Multiple of 13736 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 13736 and 13741 is 188746376.
LCM(13736,13741) = 188746376
Least Common Multiple of 13736 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 13736 and 13741, than apply into the LCM equation.
GCF(13736,13741) = 1
LCM(13736,13741) = ( 13736 × 13741) / 1
LCM(13736,13741) = 188746376 / 1
LCM(13736,13741) = 188746376
Least Common Multiple (LCM) of 13736 and 13741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13736 and 13741. First we will calculate the prime factors of 13736 and 13741.
Prime Factorization of 13736
Prime factors of 13736 are 2, 17, 101. Prime factorization of 13736 in exponential form is:
13736 = 23 × 171 × 1011
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 13736 and 13741.
LCM(13736,13741) = 23 × 171 × 1011 × 71 × 131 × 1511
LCM(13736,13741) = 188746376
Related Least Common Multiples of 13736
- LCM of 13736 and 13740
- LCM of 13736 and 13741
- LCM of 13736 and 13742
- LCM of 13736 and 13743
- LCM of 13736 and 13744
- LCM of 13736 and 13745
- LCM of 13736 and 13746
- LCM of 13736 and 13747
- LCM of 13736 and 13748
- LCM of 13736 and 13749
- LCM of 13736 and 13750
- LCM of 13736 and 13751
- LCM of 13736 and 13752
- LCM of 13736 and 13753
- LCM of 13736 and 13754
- LCM of 13736 and 13755
- LCM of 13736 and 13756
Related Least Common Multiples of 13741
- LCM of 13741 and 13745
- LCM of 13741 and 13746
- LCM of 13741 and 13747
- LCM of 13741 and 13748
- LCM of 13741 and 13749
- LCM of 13741 and 13750
- LCM of 13741 and 13751
- LCM of 13741 and 13752
- LCM of 13741 and 13753
- LCM of 13741 and 13754
- LCM of 13741 and 13755
- LCM of 13741 and 13756
- LCM of 13741 and 13757
- LCM of 13741 and 13758
- LCM of 13741 and 13759
- LCM of 13741 and 13760
- LCM of 13741 and 13761