What is the Least Common Multiple of 25734 and 25749?
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 25734 and 25749 is 220874922.
LCM(25734,25749) = 220874922
Least Common Multiple of 25734 and 25749 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25734 and 25749, than apply into the LCM equation.
GCF(25734,25749) = 3
LCM(25734,25749) = ( 25734 × 25749) / 3
LCM(25734,25749) = 662624766 / 3
LCM(25734,25749) = 220874922
Least Common Multiple (LCM) of 25734 and 25749 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25734 and 25749. First we will calculate the prime factors of 25734 and 25749.
Prime Factorization of 25734
Prime factors of 25734 are 2, 3, 4289. Prime factorization of 25734 in exponential form is:
25734 = 21 × 31 × 42891
Prime Factorization of 25749
Prime factors of 25749 are 3, 2861. Prime factorization of 25749 in exponential form is:
25749 = 32 × 28611
Now multiplying the highest exponent prime factors to calculate the LCM of 25734 and 25749.
LCM(25734,25749) = 21 × 32 × 42891 × 28611
LCM(25734,25749) = 220874922
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