What is the Least Common Multiple of 9765 and 9783?
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 9765 and 9783 is 10614555.
LCM(9765,9783) = 10614555
Least Common Multiple of 9765 and 9783 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9765 and 9783, than apply into the LCM equation.
GCF(9765,9783) = 9
LCM(9765,9783) = ( 9765 × 9783) / 9
LCM(9765,9783) = 95530995 / 9
LCM(9765,9783) = 10614555
Least Common Multiple (LCM) of 9765 and 9783 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9765 and 9783. First we will calculate the prime factors of 9765 and 9783.
Prime Factorization of 9765
Prime factors of 9765 are 3, 5, 7, 31. Prime factorization of 9765 in exponential form is:
9765 = 32 × 51 × 71 × 311
Prime Factorization of 9783
Prime factors of 9783 are 3, 1087. Prime factorization of 9783 in exponential form is:
9783 = 32 × 10871
Now multiplying the highest exponent prime factors to calculate the LCM of 9765 and 9783.
LCM(9765,9783) = 32 × 51 × 71 × 311 × 10871
LCM(9765,9783) = 10614555
Related Least Common Multiples of 9765
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- LCM of 9765 and 9781
- LCM of 9765 and 9782
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Related Least Common Multiples of 9783
- LCM of 9783 and 9787
- LCM of 9783 and 9788
- LCM of 9783 and 9789
- LCM of 9783 and 9790
- LCM of 9783 and 9791
- LCM of 9783 and 9792
- LCM of 9783 and 9793
- LCM of 9783 and 9794
- LCM of 9783 and 9795
- LCM of 9783 and 9796
- LCM of 9783 and 9797
- LCM of 9783 and 9798
- LCM of 9783 and 9799
- LCM of 9783 and 9800
- LCM of 9783 and 9801
- LCM of 9783 and 9802
- LCM of 9783 and 9803