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What is the Least Common Multiple of 25444 and 25452?

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 25444 and 25452 is 161900172.

LCM(25444,25452) = 161900172

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Least Common Multiple of 25444 and 25452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25444 and 25452, than apply into the LCM equation.

GCF(25444,25452) = 4
LCM(25444,25452) = ( 25444 × 25452) / 4
LCM(25444,25452) = 647600688 / 4
LCM(25444,25452) = 161900172

Least Common Multiple (LCM) of 25444 and 25452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25444 and 25452. First we will calculate the prime factors of 25444 and 25452.

Prime Factorization of 25444

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

25444 = 22 × 63611

Prime Factorization of 25452

Prime factors of 25452 are 2, 3, 7, 101. Prime factorization of 25452 in exponential form is:

25452 = 22 × 32 × 71 × 1011

Now multiplying the highest exponent prime factors to calculate the LCM of 25444 and 25452.

LCM(25444,25452) = 22 × 63611 × 32 × 71 × 1011
LCM(25444,25452) = 161900172