What is the Least Common Multiple of 5835 and 5841?
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 5835 and 5841 is 11360745.
LCM(5835,5841) = 11360745
Least Common Multiple of 5835 and 5841 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5835 and 5841, than apply into the LCM equation.
GCF(5835,5841) = 3
LCM(5835,5841) = ( 5835 × 5841) / 3
LCM(5835,5841) = 34082235 / 3
LCM(5835,5841) = 11360745
Least Common Multiple (LCM) of 5835 and 5841 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 5835 and 5841. First we will calculate the prime factors of 5835 and 5841.
Prime Factorization of 5835
Prime factors of 5835 are 3, 5, 389. Prime factorization of 5835 in exponential form is:
5835 = 31 × 51 × 3891
Prime Factorization of 5841
Prime factors of 5841 are 3, 11, 59. Prime factorization of 5841 in exponential form is:
5841 = 32 × 111 × 591
Now multiplying the highest exponent prime factors to calculate the LCM of 5835 and 5841.
LCM(5835,5841) = 32 × 51 × 3891 × 111 × 591
LCM(5835,5841) = 11360745
Related Least Common Multiples of 5835
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- LCM of 5835 and 5841
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- LCM of 5835 and 5845
- LCM of 5835 and 5846
- LCM of 5835 and 5847
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Related Least Common Multiples of 5841
- LCM of 5841 and 5845
- LCM of 5841 and 5846
- LCM of 5841 and 5847
- LCM of 5841 and 5848
- LCM of 5841 and 5849
- LCM of 5841 and 5850
- LCM of 5841 and 5851
- LCM of 5841 and 5852
- LCM of 5841 and 5853
- LCM of 5841 and 5854
- LCM of 5841 and 5855
- LCM of 5841 and 5856
- LCM of 5841 and 5857
- LCM of 5841 and 5858
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