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What is the Least Common Multiple of 29505 and 29525?

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 29505 and 29525 is 174227025.

LCM(29505,29525) = 174227025

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Least Common Multiple of 29505 and 29525 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29505 and 29525, than apply into the LCM equation.

GCF(29505,29525) = 5
LCM(29505,29525) = ( 29505 × 29525) / 5
LCM(29505,29525) = 871135125 / 5
LCM(29505,29525) = 174227025

Least Common Multiple (LCM) of 29505 and 29525 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29505 and 29525. First we will calculate the prime factors of 29505 and 29525.

Prime Factorization of 29505

Prime factors of 29505 are 3, 5, 7, 281. Prime factorization of 29505 in exponential form is:

29505 = 31 × 51 × 71 × 2811

Prime Factorization of 29525

Prime factors of 29525 are 5, 1181. Prime factorization of 29525 in exponential form is:

29525 = 52 × 11811

Now multiplying the highest exponent prime factors to calculate the LCM of 29505 and 29525.

LCM(29505,29525) = 31 × 52 × 71 × 2811 × 11811
LCM(29505,29525) = 174227025