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What is the Least Common Multiple of 29410 and 29415?

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 29410 and 29415 is 173019030.

LCM(29410,29415) = 173019030

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Least Common Multiple of 29410 and 29415 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29410 and 29415, than apply into the LCM equation.

GCF(29410,29415) = 5
LCM(29410,29415) = ( 29410 × 29415) / 5
LCM(29410,29415) = 865095150 / 5
LCM(29410,29415) = 173019030

Least Common Multiple (LCM) of 29410 and 29415 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29410 and 29415. First we will calculate the prime factors of 29410 and 29415.

Prime Factorization of 29410

Prime factors of 29410 are 2, 5, 17, 173. Prime factorization of 29410 in exponential form is:

29410 = 21 × 51 × 171 × 1731

Prime Factorization of 29415

Prime factors of 29415 are 3, 5, 37, 53. Prime factorization of 29415 in exponential form is:

29415 = 31 × 51 × 371 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 29410 and 29415.

LCM(29410,29415) = 21 × 51 × 171 × 1731 × 31 × 371 × 531
LCM(29410,29415) = 173019030