What is the Least Common Multiple of 25063 and 25082?
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 25063 and 25082 is 628630166.
LCM(25063,25082) = 628630166
Least Common Multiple of 25063 and 25082 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25063 and 25082, than apply into the LCM equation.
GCF(25063,25082) = 1
LCM(25063,25082) = ( 25063 × 25082) / 1
LCM(25063,25082) = 628630166 / 1
LCM(25063,25082) = 628630166
Least Common Multiple (LCM) of 25063 and 25082 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25063 and 25082. First we will calculate the prime factors of 25063 and 25082.
Prime Factorization of 25063
Prime factors of 25063 are 71, 353. Prime factorization of 25063 in exponential form is:
25063 = 711 × 3531
Prime Factorization of 25082
Prime factors of 25082 are 2, 12541. Prime factorization of 25082 in exponential form is:
25082 = 21 × 125411
Now multiplying the highest exponent prime factors to calculate the LCM of 25063 and 25082.
LCM(25063,25082) = 711 × 3531 × 21 × 125411
LCM(25063,25082) = 628630166
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