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What is the Least Common Multiple of 25432 and 25444?

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 25432 and 25444 is 161772952.

LCM(25432,25444) = 161772952

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Least Common Multiple of 25432 and 25444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25432 and 25444, than apply into the LCM equation.

GCF(25432,25444) = 4
LCM(25432,25444) = ( 25432 × 25444) / 4
LCM(25432,25444) = 647091808 / 4
LCM(25432,25444) = 161772952

Least Common Multiple (LCM) of 25432 and 25444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25432 and 25444. First we will calculate the prime factors of 25432 and 25444.

Prime Factorization of 25432

Prime factors of 25432 are 2, 11, 17. Prime factorization of 25432 in exponential form is:

25432 = 23 × 111 × 172

Prime Factorization of 25444

Prime factors of 25444 are 2, 6361. Prime factorization of 25444 in exponential form is:

25444 = 22 × 63611

Now multiplying the highest exponent prime factors to calculate the LCM of 25432 and 25444.

LCM(25432,25444) = 23 × 111 × 172 × 63611
LCM(25432,25444) = 161772952