What is the Least Common Multiple of 25157 and 25162?
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 25157 and 25162 is 633000434.
LCM(25157,25162) = 633000434
Least Common Multiple of 25157 and 25162 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25157 and 25162, than apply into the LCM equation.
GCF(25157,25162) = 1
LCM(25157,25162) = ( 25157 × 25162) / 1
LCM(25157,25162) = 633000434 / 1
LCM(25157,25162) = 633000434
Least Common Multiple (LCM) of 25157 and 25162 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25157 and 25162. First we will calculate the prime factors of 25157 and 25162.
Prime Factorization of 25157
Prime factors of 25157 are 11, 2287. Prime factorization of 25157 in exponential form is:
25157 = 111 × 22871
Prime Factorization of 25162
Prime factors of 25162 are 2, 23, 547. Prime factorization of 25162 in exponential form is:
25162 = 21 × 231 × 5471
Now multiplying the highest exponent prime factors to calculate the LCM of 25157 and 25162.
LCM(25157,25162) = 111 × 22871 × 21 × 231 × 5471
LCM(25157,25162) = 633000434
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