What is the Least Common Multiple of 14739 and 14745?
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 14739 and 14745 is 72442185.
LCM(14739,14745) = 72442185
Least Common Multiple of 14739 and 14745 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 14739 and 14745, than apply into the LCM equation.
GCF(14739,14745) = 3
LCM(14739,14745) = ( 14739 × 14745) / 3
LCM(14739,14745) = 217326555 / 3
LCM(14739,14745) = 72442185
Least Common Multiple (LCM) of 14739 and 14745 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 14739 and 14745. First we will calculate the prime factors of 14739 and 14745.
Prime Factorization of 14739
Prime factors of 14739 are 3, 17. Prime factorization of 14739 in exponential form is:
14739 = 31 × 173
Prime Factorization of 14745
Prime factors of 14745 are 3, 5, 983. Prime factorization of 14745 in exponential form is:
14745 = 31 × 51 × 9831
Now multiplying the highest exponent prime factors to calculate the LCM of 14739 and 14745.
LCM(14739,14745) = 31 × 173 × 51 × 9831
LCM(14739,14745) = 72442185
Related Least Common Multiples of 14739
- LCM of 14739 and 14743
- LCM of 14739 and 14744
- LCM of 14739 and 14745
- LCM of 14739 and 14746
- LCM of 14739 and 14747
- LCM of 14739 and 14748
- LCM of 14739 and 14749
- LCM of 14739 and 14750
- LCM of 14739 and 14751
- LCM of 14739 and 14752
- LCM of 14739 and 14753
- LCM of 14739 and 14754
- LCM of 14739 and 14755
- LCM of 14739 and 14756
- LCM of 14739 and 14757
- LCM of 14739 and 14758
- LCM of 14739 and 14759
Related Least Common Multiples of 14745
- LCM of 14745 and 14749
- LCM of 14745 and 14750
- LCM of 14745 and 14751
- LCM of 14745 and 14752
- LCM of 14745 and 14753
- LCM of 14745 and 14754
- LCM of 14745 and 14755
- LCM of 14745 and 14756
- LCM of 14745 and 14757
- LCM of 14745 and 14758
- LCM of 14745 and 14759
- LCM of 14745 and 14760
- LCM of 14745 and 14761
- LCM of 14745 and 14762
- LCM of 14745 and 14763
- LCM of 14745 and 14764
- LCM of 14745 and 14765