What is the Least Common Multiple of 25916 and 25927?
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 25916 and 25927 is 61084012.
LCM(25916,25927) = 61084012
Least Common Multiple of 25916 and 25927 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25916 and 25927, than apply into the LCM equation.
GCF(25916,25927) = 11
LCM(25916,25927) = ( 25916 × 25927) / 11
LCM(25916,25927) = 671924132 / 11
LCM(25916,25927) = 61084012
Least Common Multiple (LCM) of 25916 and 25927 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25916 and 25927. First we will calculate the prime factors of 25916 and 25927.
Prime Factorization of 25916
Prime factors of 25916 are 2, 11, 19, 31. Prime factorization of 25916 in exponential form is:
25916 = 22 × 111 × 191 × 311
Prime Factorization of 25927
Prime factors of 25927 are 11, 2357. Prime factorization of 25927 in exponential form is:
25927 = 111 × 23571
Now multiplying the highest exponent prime factors to calculate the LCM of 25916 and 25927.
LCM(25916,25927) = 22 × 111 × 191 × 311 × 23571
LCM(25916,25927) = 61084012
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