What is the Least Common Multiple of 25434 and 25438?
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 25434 and 25438 is 323495046.
LCM(25434,25438) = 323495046
Least Common Multiple of 25434 and 25438 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25434 and 25438, than apply into the LCM equation.
GCF(25434,25438) = 2
LCM(25434,25438) = ( 25434 × 25438) / 2
LCM(25434,25438) = 646990092 / 2
LCM(25434,25438) = 323495046
Least Common Multiple (LCM) of 25434 and 25438 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25434 and 25438. First we will calculate the prime factors of 25434 and 25438.
Prime Factorization of 25434
Prime factors of 25434 are 2, 3, 157. Prime factorization of 25434 in exponential form is:
25434 = 21 × 34 × 1571
Prime Factorization of 25438
Prime factors of 25438 are 2, 7, 23, 79. Prime factorization of 25438 in exponential form is:
25438 = 21 × 71 × 231 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 25434 and 25438.
LCM(25434,25438) = 21 × 34 × 1571 × 71 × 231 × 791
LCM(25434,25438) = 323495046
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