What is the Least Common Multiple of 9910 and 9915?
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 9910 and 9915 is 19651530.
LCM(9910,9915) = 19651530
Least Common Multiple of 9910 and 9915 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 9910 and 9915, than apply into the LCM equation.
GCF(9910,9915) = 5
LCM(9910,9915) = ( 9910 × 9915) / 5
LCM(9910,9915) = 98257650 / 5
LCM(9910,9915) = 19651530
Least Common Multiple (LCM) of 9910 and 9915 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 9910 and 9915. First we will calculate the prime factors of 9910 and 9915.
Prime Factorization of 9910
Prime factors of 9910 are 2, 5, 991. Prime factorization of 9910 in exponential form is:
9910 = 21 × 51 × 9911
Prime Factorization of 9915
Prime factors of 9915 are 3, 5, 661. Prime factorization of 9915 in exponential form is:
9915 = 31 × 51 × 6611
Now multiplying the highest exponent prime factors to calculate the LCM of 9910 and 9915.
LCM(9910,9915) = 21 × 51 × 9911 × 31 × 6611
LCM(9910,9915) = 19651530
Related Least Common Multiples of 9910
- LCM of 9910 and 9914
- LCM of 9910 and 9915
- LCM of 9910 and 9916
- LCM of 9910 and 9917
- LCM of 9910 and 9918
- LCM of 9910 and 9919
- LCM of 9910 and 9920
- LCM of 9910 and 9921
- LCM of 9910 and 9922
- LCM of 9910 and 9923
- LCM of 9910 and 9924
- LCM of 9910 and 9925
- LCM of 9910 and 9926
- LCM of 9910 and 9927
- LCM of 9910 and 9928
- LCM of 9910 and 9929
- LCM of 9910 and 9930
Related Least Common Multiples of 9915
- LCM of 9915 and 9919
- LCM of 9915 and 9920
- LCM of 9915 and 9921
- LCM of 9915 and 9922
- LCM of 9915 and 9923
- LCM of 9915 and 9924
- LCM of 9915 and 9925
- LCM of 9915 and 9926
- LCM of 9915 and 9927
- LCM of 9915 and 9928
- LCM of 9915 and 9929
- LCM of 9915 and 9930
- LCM of 9915 and 9931
- LCM of 9915 and 9932
- LCM of 9915 and 9933
- LCM of 9915 and 9934
- LCM of 9915 and 9935