What is the Least Common Multiple of 8729 and 8735?
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 8729 and 8735 is 76247815.
LCM(8729,8735) = 76247815
Least Common Multiple of 8729 and 8735 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 8729 and 8735, than apply into the LCM equation.
GCF(8729,8735) = 1
LCM(8729,8735) = ( 8729 × 8735) / 1
LCM(8729,8735) = 76247815 / 1
LCM(8729,8735) = 76247815
Least Common Multiple (LCM) of 8729 and 8735 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 8729 and 8735. First we will calculate the prime factors of 8729 and 8735.
Prime Factorization of 8729
Prime factors of 8729 are 7, 29, 43. Prime factorization of 8729 in exponential form is:
8729 = 71 × 291 × 431
Prime Factorization of 8735
Prime factors of 8735 are 5, 1747. Prime factorization of 8735 in exponential form is:
8735 = 51 × 17471
Now multiplying the highest exponent prime factors to calculate the LCM of 8729 and 8735.
LCM(8729,8735) = 71 × 291 × 431 × 51 × 17471
LCM(8729,8735) = 76247815
Related Least Common Multiples of 8729
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- LCM of 8729 and 8739
- LCM of 8729 and 8740
- LCM of 8729 and 8741
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- LCM of 8729 and 8745
- LCM of 8729 and 8746
- LCM of 8729 and 8747
- LCM of 8729 and 8748
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Related Least Common Multiples of 8735
- LCM of 8735 and 8739
- LCM of 8735 and 8740
- LCM of 8735 and 8741
- LCM of 8735 and 8742
- LCM of 8735 and 8743
- LCM of 8735 and 8744
- LCM of 8735 and 8745
- LCM of 8735 and 8746
- LCM of 8735 and 8747
- LCM of 8735 and 8748
- LCM of 8735 and 8749
- LCM of 8735 and 8750
- LCM of 8735 and 8751
- LCM of 8735 and 8752
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