What is the Least Common Multiple of 9698 and 9710?
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 9698 and 9710 is 47083790.
LCM(9698,9710) = 47083790
Least Common Multiple of 9698 and 9710 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9698 and 9710, than apply into the LCM equation.
GCF(9698,9710) = 2
LCM(9698,9710) = ( 9698 × 9710) / 2
LCM(9698,9710) = 94167580 / 2
LCM(9698,9710) = 47083790
Least Common Multiple (LCM) of 9698 and 9710 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9698 and 9710. First we will calculate the prime factors of 9698 and 9710.
Prime Factorization of 9698
Prime factors of 9698 are 2, 13, 373. Prime factorization of 9698 in exponential form is:
9698 = 21 × 131 × 3731
Prime Factorization of 9710
Prime factors of 9710 are 2, 5, 971. Prime factorization of 9710 in exponential form is:
9710 = 21 × 51 × 9711
Now multiplying the highest exponent prime factors to calculate the LCM of 9698 and 9710.
LCM(9698,9710) = 21 × 131 × 3731 × 51 × 9711
LCM(9698,9710) = 47083790
Related Least Common Multiples of 9698
- LCM of 9698 and 9702
- LCM of 9698 and 9703
- LCM of 9698 and 9704
- LCM of 9698 and 9705
- LCM of 9698 and 9706
- LCM of 9698 and 9707
- LCM of 9698 and 9708
- LCM of 9698 and 9709
- LCM of 9698 and 9710
- LCM of 9698 and 9711
- LCM of 9698 and 9712
- LCM of 9698 and 9713
- LCM of 9698 and 9714
- LCM of 9698 and 9715
- LCM of 9698 and 9716
- LCM of 9698 and 9717
- LCM of 9698 and 9718
Related Least Common Multiples of 9710
- LCM of 9710 and 9714
- LCM of 9710 and 9715
- LCM of 9710 and 9716
- LCM of 9710 and 9717
- LCM of 9710 and 9718
- LCM of 9710 and 9719
- LCM of 9710 and 9720
- LCM of 9710 and 9721
- LCM of 9710 and 9722
- LCM of 9710 and 9723
- LCM of 9710 and 9724
- LCM of 9710 and 9725
- LCM of 9710 and 9726
- LCM of 9710 and 9727
- LCM of 9710 and 9728
- LCM of 9710 and 9729
- LCM of 9710 and 9730