What is the Least Common Multiple of 9717 and 9721?
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 9717 and 9721 is 94458957.
LCM(9717,9721) = 94458957
Least Common Multiple of 9717 and 9721 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9717 and 9721, than apply into the LCM equation.
GCF(9717,9721) = 1
LCM(9717,9721) = ( 9717 × 9721) / 1
LCM(9717,9721) = 94458957 / 1
LCM(9717,9721) = 94458957
Least Common Multiple (LCM) of 9717 and 9721 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9717 and 9721. First we will calculate the prime factors of 9717 and 9721.
Prime Factorization of 9717
Prime factors of 9717 are 3, 41, 79. Prime factorization of 9717 in exponential form is:
9717 = 31 × 411 × 791
Prime Factorization of 9721
Prime factors of 9721 are 9721. Prime factorization of 9721 in exponential form is:
9721 = 97211
Now multiplying the highest exponent prime factors to calculate the LCM of 9717 and 9721.
LCM(9717,9721) = 31 × 411 × 791 × 97211
LCM(9717,9721) = 94458957
Related Least Common Multiples of 9717
- LCM of 9717 and 9721
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- LCM of 9717 and 9728
- LCM of 9717 and 9729
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- LCM of 9717 and 9733
- LCM of 9717 and 9734
- LCM of 9717 and 9735
- LCM of 9717 and 9736
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Related Least Common Multiples of 9721
- LCM of 9721 and 9725
- LCM of 9721 and 9726
- LCM of 9721 and 9727
- LCM of 9721 and 9728
- LCM of 9721 and 9729
- LCM of 9721 and 9730
- LCM of 9721 and 9731
- LCM of 9721 and 9732
- LCM of 9721 and 9733
- LCM of 9721 and 9734
- LCM of 9721 and 9735
- LCM of 9721 and 9736
- LCM of 9721 and 9737
- LCM of 9721 and 9738
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- LCM of 9721 and 9741