What is the Least Common Multiple of 25422 and 25437?
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 25422 and 25437 is 215553138.
LCM(25422,25437) = 215553138
Least Common Multiple of 25422 and 25437 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25422 and 25437, than apply into the LCM equation.
GCF(25422,25437) = 3
LCM(25422,25437) = ( 25422 × 25437) / 3
LCM(25422,25437) = 646659414 / 3
LCM(25422,25437) = 215553138
Least Common Multiple (LCM) of 25422 and 25437 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25422 and 25437. First we will calculate the prime factors of 25422 and 25437.
Prime Factorization of 25422
Prime factors of 25422 are 2, 3, 19, 223. Prime factorization of 25422 in exponential form is:
25422 = 21 × 31 × 191 × 2231
Prime Factorization of 25437
Prime factors of 25437 are 3, 61, 139. Prime factorization of 25437 in exponential form is:
25437 = 31 × 611 × 1391
Now multiplying the highest exponent prime factors to calculate the LCM of 25422 and 25437.
LCM(25422,25437) = 21 × 31 × 191 × 2231 × 611 × 1391
LCM(25422,25437) = 215553138
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