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What is the Least Common Multiple of 25541 and 25550?

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 25541 and 25550 is 652572550.

LCM(25541,25550) = 652572550

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Least Common Multiple of 25541 and 25550 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 25541 and 25550, than apply into the LCM equation.

GCF(25541,25550) = 1
LCM(25541,25550) = ( 25541 × 25550) / 1
LCM(25541,25550) = 652572550 / 1
LCM(25541,25550) = 652572550

Least Common Multiple (LCM) of 25541 and 25550 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 25541 and 25550. First we will calculate the prime factors of 25541 and 25550.

Prime Factorization of 25541

Prime factors of 25541 are 25541. Prime factorization of 25541 in exponential form is:

25541 = 255411

Prime Factorization of 25550

Prime factors of 25550 are 2, 5, 7, 73. Prime factorization of 25550 in exponential form is:

25550 = 21 × 52 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 25541 and 25550.

LCM(25541,25550) = 255411 × 21 × 52 × 71 × 731
LCM(25541,25550) = 652572550