What is the Least Common Multiple of 25910 and 25926?
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 25910 and 25926 is 335871330.
LCM(25910,25926) = 335871330
Least Common Multiple of 25910 and 25926 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25910 and 25926, than apply into the LCM equation.
GCF(25910,25926) = 2
LCM(25910,25926) = ( 25910 × 25926) / 2
LCM(25910,25926) = 671742660 / 2
LCM(25910,25926) = 335871330
Least Common Multiple (LCM) of 25910 and 25926 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25910 and 25926. First we will calculate the prime factors of 25910 and 25926.
Prime Factorization of 25910
Prime factors of 25910 are 2, 5, 2591. Prime factorization of 25910 in exponential form is:
25910 = 21 × 51 × 25911
Prime Factorization of 25926
Prime factors of 25926 are 2, 3, 29, 149. Prime factorization of 25926 in exponential form is:
25926 = 21 × 31 × 291 × 1491
Now multiplying the highest exponent prime factors to calculate the LCM of 25910 and 25926.
LCM(25910,25926) = 21 × 51 × 25911 × 31 × 291 × 1491
LCM(25910,25926) = 335871330
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