What is the Least Common Multiple of 25427 and 25436?
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 25427 and 25436 is 646761172.
LCM(25427,25436) = 646761172
Least Common Multiple of 25427 and 25436 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25427 and 25436, than apply into the LCM equation.
GCF(25427,25436) = 1
LCM(25427,25436) = ( 25427 × 25436) / 1
LCM(25427,25436) = 646761172 / 1
LCM(25427,25436) = 646761172
Least Common Multiple (LCM) of 25427 and 25436 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 25427 and 25436. First we will calculate the prime factors of 25427 and 25436.
Prime Factorization of 25427
Prime factors of 25427 are 47, 541. Prime factorization of 25427 in exponential form is:
25427 = 471 × 5411
Prime Factorization of 25436
Prime factors of 25436 are 2, 6359. Prime factorization of 25436 in exponential form is:
25436 = 22 × 63591
Now multiplying the highest exponent prime factors to calculate the LCM of 25427 and 25436.
LCM(25427,25436) = 471 × 5411 × 22 × 63591
LCM(25427,25436) = 646761172
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