What is the Least Common Multiple of 25469 and 25473?
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 25469 and 25473 is 648771837.
LCM(25469,25473) = 648771837
Least Common Multiple of 25469 and 25473 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25469 and 25473, than apply into the LCM equation.
GCF(25469,25473) = 1
LCM(25469,25473) = ( 25469 × 25473) / 1
LCM(25469,25473) = 648771837 / 1
LCM(25469,25473) = 648771837
Least Common Multiple (LCM) of 25469 and 25473 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25469 and 25473. First we will calculate the prime factors of 25469 and 25473.
Prime Factorization of 25469
Prime factors of 25469 are 25469. Prime factorization of 25469 in exponential form is:
25469 = 254691
Prime Factorization of 25473
Prime factors of 25473 are 3, 7, 1213. Prime factorization of 25473 in exponential form is:
25473 = 31 × 71 × 12131
Now multiplying the highest exponent prime factors to calculate the LCM of 25469 and 25473.
LCM(25469,25473) = 254691 × 31 × 71 × 12131
LCM(25469,25473) = 648771837
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