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What is the Least Common Multiple of 25431 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 25431 and 25436 is 646862916.

LCM(25431,25436) = 646862916

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Least Common Multiple of 25431 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 25431 and 25436, than apply into the LCM equation.

GCF(25431,25436) = 1
LCM(25431,25436) = ( 25431 × 25436) / 1
LCM(25431,25436) = 646862916 / 1
LCM(25431,25436) = 646862916

Least Common Multiple (LCM) of 25431 and 25436 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25431 and 25436. First we will calculate the prime factors of 25431 and 25436.

Prime Factorization of 25431

Prime factors of 25431 are 3, 7, 173. Prime factorization of 25431 in exponential form is:

25431 = 31 × 72 × 1731

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 25431 and 25436.

LCM(25431,25436) = 31 × 72 × 1731 × 22 × 63591
LCM(25431,25436) = 646862916