What is the Least Common Multiple of 99965 and 99970?
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 99965 and 99970 is 1998700210.
LCM(99965,99970) = 1998700210
Least Common Multiple of 99965 and 99970 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 99965 and 99970, than apply into the LCM equation.
GCF(99965,99970) = 5
LCM(99965,99970) = ( 99965 × 99970) / 5
LCM(99965,99970) = 9993501050 / 5
LCM(99965,99970) = 1998700210
Least Common Multiple (LCM) of 99965 and 99970 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 99965 and 99970. First we will calculate the prime factors of 99965 and 99970.
Prime Factorization of 99965
Prime factors of 99965 are 5, 19993. Prime factorization of 99965 in exponential form is:
99965 = 51 × 199931
Prime Factorization of 99970
Prime factors of 99970 are 2, 5, 13, 769. Prime factorization of 99970 in exponential form is:
99970 = 21 × 51 × 131 × 7691
Now multiplying the highest exponent prime factors to calculate the LCM of 99965 and 99970.
LCM(99965,99970) = 51 × 199931 × 21 × 131 × 7691
LCM(99965,99970) = 1998700210
Related Least Common Multiples of 99965
- LCM of 99965 and 99969
- LCM of 99965 and 99970
- LCM of 99965 and 99971
- LCM of 99965 and 99972
- LCM of 99965 and 99973
- LCM of 99965 and 99974
- LCM of 99965 and 99975
- LCM of 99965 and 99976
- LCM of 99965 and 99977
- LCM of 99965 and 99978
- LCM of 99965 and 99979
- LCM of 99965 and 99980
- LCM of 99965 and 99981
- LCM of 99965 and 99982
- LCM of 99965 and 99983
- LCM of 99965 and 99984
- LCM of 99965 and 99985
Related Least Common Multiples of 99970
- LCM of 99970 and 99974
- LCM of 99970 and 99975
- LCM of 99970 and 99976
- LCM of 99970 and 99977
- LCM of 99970 and 99978
- LCM of 99970 and 99979
- LCM of 99970 and 99980
- LCM of 99970 and 99981
- LCM of 99970 and 99982
- LCM of 99970 and 99983
- LCM of 99970 and 99984
- LCM of 99970 and 99985
- LCM of 99970 and 99986
- LCM of 99970 and 99987
- LCM of 99970 and 99988
- LCM of 99970 and 99989
- LCM of 99970 and 99990