What is the Least Common Multiple of 13724 and 13730?
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 13724 and 13730 is 94215260.
LCM(13724,13730) = 94215260
Least Common Multiple of 13724 and 13730 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 13724 and 13730, than apply into the LCM equation.
GCF(13724,13730) = 2
LCM(13724,13730) = ( 13724 × 13730) / 2
LCM(13724,13730) = 188430520 / 2
LCM(13724,13730) = 94215260
Least Common Multiple (LCM) of 13724 and 13730 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 13724 and 13730. First we will calculate the prime factors of 13724 and 13730.
Prime Factorization of 13724
Prime factors of 13724 are 2, 47, 73. Prime factorization of 13724 in exponential form is:
13724 = 22 × 471 × 731
Prime Factorization of 13730
Prime factors of 13730 are 2, 5, 1373. Prime factorization of 13730 in exponential form is:
13730 = 21 × 51 × 13731
Now multiplying the highest exponent prime factors to calculate the LCM of 13724 and 13730.
LCM(13724,13730) = 22 × 471 × 731 × 51 × 13731
LCM(13724,13730) = 94215260
Related Least Common Multiples of 13724
- LCM of 13724 and 13728
- LCM of 13724 and 13729
- LCM of 13724 and 13730
- LCM of 13724 and 13731
- LCM of 13724 and 13732
- LCM of 13724 and 13733
- LCM of 13724 and 13734
- LCM of 13724 and 13735
- LCM of 13724 and 13736
- LCM of 13724 and 13737
- LCM of 13724 and 13738
- LCM of 13724 and 13739
- LCM of 13724 and 13740
- LCM of 13724 and 13741
- LCM of 13724 and 13742
- LCM of 13724 and 13743
- LCM of 13724 and 13744
Related Least Common Multiples of 13730
- LCM of 13730 and 13734
- LCM of 13730 and 13735
- LCM of 13730 and 13736
- LCM of 13730 and 13737
- LCM of 13730 and 13738
- LCM of 13730 and 13739
- LCM of 13730 and 13740
- LCM of 13730 and 13741
- LCM of 13730 and 13742
- LCM of 13730 and 13743
- LCM of 13730 and 13744
- LCM of 13730 and 13745
- LCM of 13730 and 13746
- LCM of 13730 and 13747
- LCM of 13730 and 13748
- LCM of 13730 and 13749
- LCM of 13730 and 13750