What is the Least Common Multiple of 25809 and 25823?
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 25809 and 25823 is 95209401.
LCM(25809,25823) = 95209401
Least Common Multiple of 25809 and 25823 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25809 and 25823, than apply into the LCM equation.
GCF(25809,25823) = 7
LCM(25809,25823) = ( 25809 × 25823) / 7
LCM(25809,25823) = 666465807 / 7
LCM(25809,25823) = 95209401
Least Common Multiple (LCM) of 25809 and 25823 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25809 and 25823. First we will calculate the prime factors of 25809 and 25823.
Prime Factorization of 25809
Prime factors of 25809 are 3, 7, 1229. Prime factorization of 25809 in exponential form is:
25809 = 31 × 71 × 12291
Prime Factorization of 25823
Prime factors of 25823 are 7, 17, 31. Prime factorization of 25823 in exponential form is:
25823 = 72 × 171 × 311
Now multiplying the highest exponent prime factors to calculate the LCM of 25809 and 25823.
LCM(25809,25823) = 31 × 72 × 12291 × 171 × 311
LCM(25809,25823) = 95209401
Related Least Common Multiples of 25809
- LCM of 25809 and 25813
- LCM of 25809 and 25814
- LCM of 25809 and 25815
- LCM of 25809 and 25816
- LCM of 25809 and 25817
- LCM of 25809 and 25818
- LCM of 25809 and 25819
- LCM of 25809 and 25820
- LCM of 25809 and 25821
- LCM of 25809 and 25822
- LCM of 25809 and 25823
- LCM of 25809 and 25824
- LCM of 25809 and 25825
- LCM of 25809 and 25826
- LCM of 25809 and 25827
- LCM of 25809 and 25828
- LCM of 25809 and 25829
Related Least Common Multiples of 25823
- LCM of 25823 and 25827
- LCM of 25823 and 25828
- LCM of 25823 and 25829
- LCM of 25823 and 25830
- LCM of 25823 and 25831
- LCM of 25823 and 25832
- LCM of 25823 and 25833
- LCM of 25823 and 25834
- LCM of 25823 and 25835
- LCM of 25823 and 25836
- LCM of 25823 and 25837
- LCM of 25823 and 25838
- LCM of 25823 and 25839
- LCM of 25823 and 25840
- LCM of 25823 and 25841
- LCM of 25823 and 25842
- LCM of 25823 and 25843