What is the Least Common Multiple of 9709 and 9714?
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 9709 and 9714 is 94313226.
LCM(9709,9714) = 94313226
Least Common Multiple of 9709 and 9714 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9709 and 9714, than apply into the LCM equation.
GCF(9709,9714) = 1
LCM(9709,9714) = ( 9709 × 9714) / 1
LCM(9709,9714) = 94313226 / 1
LCM(9709,9714) = 94313226
Least Common Multiple (LCM) of 9709 and 9714 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9709 and 9714. First we will calculate the prime factors of 9709 and 9714.
Prime Factorization of 9709
Prime factors of 9709 are 7, 19, 73. Prime factorization of 9709 in exponential form is:
9709 = 71 × 191 × 731
Prime Factorization of 9714
Prime factors of 9714 are 2, 3, 1619. Prime factorization of 9714 in exponential form is:
9714 = 21 × 31 × 16191
Now multiplying the highest exponent prime factors to calculate the LCM of 9709 and 9714.
LCM(9709,9714) = 71 × 191 × 731 × 21 × 31 × 16191
LCM(9709,9714) = 94313226
Related Least Common Multiples of 9709
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Related Least Common Multiples of 9714
- LCM of 9714 and 9718
- LCM of 9714 and 9719
- LCM of 9714 and 9720
- LCM of 9714 and 9721
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- LCM of 9714 and 9723
- LCM of 9714 and 9724
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- LCM of 9714 and 9729
- LCM of 9714 and 9730
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