What is the Least Common Multiple of 9713 and 9723?
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 9713 and 9723 is 94439499.
LCM(9713,9723) = 94439499
Least Common Multiple of 9713 and 9723 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9713 and 9723, than apply into the LCM equation.
GCF(9713,9723) = 1
LCM(9713,9723) = ( 9713 × 9723) / 1
LCM(9713,9723) = 94439499 / 1
LCM(9713,9723) = 94439499
Least Common Multiple (LCM) of 9713 and 9723 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9713 and 9723. First we will calculate the prime factors of 9713 and 9723.
Prime Factorization of 9713
Prime factors of 9713 are 11, 883. Prime factorization of 9713 in exponential form is:
9713 = 111 × 8831
Prime Factorization of 9723
Prime factors of 9723 are 3, 7, 463. Prime factorization of 9723 in exponential form is:
9723 = 31 × 71 × 4631
Now multiplying the highest exponent prime factors to calculate the LCM of 9713 and 9723.
LCM(9713,9723) = 111 × 8831 × 31 × 71 × 4631
LCM(9713,9723) = 94439499
Related Least Common Multiples of 9713
- LCM of 9713 and 9717
- LCM of 9713 and 9718
- LCM of 9713 and 9719
- LCM of 9713 and 9720
- LCM of 9713 and 9721
- LCM of 9713 and 9722
- LCM of 9713 and 9723
- LCM of 9713 and 9724
- LCM of 9713 and 9725
- LCM of 9713 and 9726
- LCM of 9713 and 9727
- LCM of 9713 and 9728
- LCM of 9713 and 9729
- LCM of 9713 and 9730
- LCM of 9713 and 9731
- LCM of 9713 and 9732
- LCM of 9713 and 9733
Related Least Common Multiples of 9723
- LCM of 9723 and 9727
- LCM of 9723 and 9728
- LCM of 9723 and 9729
- LCM of 9723 and 9730
- LCM of 9723 and 9731
- LCM of 9723 and 9732
- LCM of 9723 and 9733
- LCM of 9723 and 9734
- LCM of 9723 and 9735
- LCM of 9723 and 9736
- LCM of 9723 and 9737
- LCM of 9723 and 9738
- LCM of 9723 and 9739
- LCM of 9723 and 9740
- LCM of 9723 and 9741
- LCM of 9723 and 9742
- LCM of 9723 and 9743