What is the Least Common Multiple of 23965 and 23985?
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 23965 and 23985 is 114960105.
LCM(23965,23985) = 114960105
Least Common Multiple of 23965 and 23985 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 23965 and 23985, than apply into the LCM equation.
GCF(23965,23985) = 5
LCM(23965,23985) = ( 23965 × 23985) / 5
LCM(23965,23985) = 574800525 / 5
LCM(23965,23985) = 114960105
Least Common Multiple (LCM) of 23965 and 23985 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 23965 and 23985. First we will calculate the prime factors of 23965 and 23985.
Prime Factorization of 23965
Prime factors of 23965 are 5, 4793. Prime factorization of 23965 in exponential form is:
23965 = 51 × 47931
Prime Factorization of 23985
Prime factors of 23985 are 3, 5, 13, 41. Prime factorization of 23985 in exponential form is:
23985 = 32 × 51 × 131 × 411
Now multiplying the highest exponent prime factors to calculate the LCM of 23965 and 23985.
LCM(23965,23985) = 51 × 47931 × 32 × 131 × 411
LCM(23965,23985) = 114960105
Related Least Common Multiples of 23965
- LCM of 23965 and 23969
- LCM of 23965 and 23970
- LCM of 23965 and 23971
- LCM of 23965 and 23972
- LCM of 23965 and 23973
- LCM of 23965 and 23974
- LCM of 23965 and 23975
- LCM of 23965 and 23976
- LCM of 23965 and 23977
- LCM of 23965 and 23978
- LCM of 23965 and 23979
- LCM of 23965 and 23980
- LCM of 23965 and 23981
- LCM of 23965 and 23982
- LCM of 23965 and 23983
- LCM of 23965 and 23984
- LCM of 23965 and 23985
Related Least Common Multiples of 23985
- LCM of 23985 and 23989
- LCM of 23985 and 23990
- LCM of 23985 and 23991
- LCM of 23985 and 23992
- LCM of 23985 and 23993
- LCM of 23985 and 23994
- LCM of 23985 and 23995
- LCM of 23985 and 23996
- LCM of 23985 and 23997
- LCM of 23985 and 23998
- LCM of 23985 and 23999
- LCM of 23985 and 24000
- LCM of 23985 and 24001
- LCM of 23985 and 24002
- LCM of 23985 and 24003
- LCM of 23985 and 24004
- LCM of 23985 and 24005