What is the Least Common Multiple of 9735 and 9741?
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 9735 and 9741 is 31609545.
LCM(9735,9741) = 31609545
Least Common Multiple of 9735 and 9741 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9735 and 9741, than apply into the LCM equation.
GCF(9735,9741) = 3
LCM(9735,9741) = ( 9735 × 9741) / 3
LCM(9735,9741) = 94828635 / 3
LCM(9735,9741) = 31609545
Least Common Multiple (LCM) of 9735 and 9741 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9735 and 9741. First we will calculate the prime factors of 9735 and 9741.
Prime Factorization of 9735
Prime factors of 9735 are 3, 5, 11, 59. Prime factorization of 9735 in exponential form is:
9735 = 31 × 51 × 111 × 591
Prime Factorization of 9741
Prime factors of 9741 are 3, 17, 191. Prime factorization of 9741 in exponential form is:
9741 = 31 × 171 × 1911
Now multiplying the highest exponent prime factors to calculate the LCM of 9735 and 9741.
LCM(9735,9741) = 31 × 51 × 111 × 591 × 171 × 1911
LCM(9735,9741) = 31609545
Related Least Common Multiples of 9735
- LCM of 9735 and 9739
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- LCM of 9735 and 9741
- LCM of 9735 and 9742
- LCM of 9735 and 9743
- LCM of 9735 and 9744
- LCM of 9735 and 9745
- LCM of 9735 and 9746
- LCM of 9735 and 9747
- LCM of 9735 and 9748
- LCM of 9735 and 9749
- LCM of 9735 and 9750
- LCM of 9735 and 9751
- LCM of 9735 and 9752
- LCM of 9735 and 9753
- LCM of 9735 and 9754
- LCM of 9735 and 9755
Related Least Common Multiples of 9741
- LCM of 9741 and 9745
- LCM of 9741 and 9746
- LCM of 9741 and 9747
- LCM of 9741 and 9748
- LCM of 9741 and 9749
- LCM of 9741 and 9750
- LCM of 9741 and 9751
- LCM of 9741 and 9752
- LCM of 9741 and 9753
- LCM of 9741 and 9754
- LCM of 9741 and 9755
- LCM of 9741 and 9756
- LCM of 9741 and 9757
- LCM of 9741 and 9758
- LCM of 9741 and 9759
- LCM of 9741 and 9760
- LCM of 9741 and 9761