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What is the Least Common Multiple of 29540 and 29549?

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 29540 and 29549 is 872877460.

LCM(29540,29549) = 872877460

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Least Common Multiple of 29540 and 29549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29540 and 29549, than apply into the LCM equation.

GCF(29540,29549) = 1
LCM(29540,29549) = ( 29540 × 29549) / 1
LCM(29540,29549) = 872877460 / 1
LCM(29540,29549) = 872877460

Least Common Multiple (LCM) of 29540 and 29549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29540 and 29549. First we will calculate the prime factors of 29540 and 29549.

Prime Factorization of 29540

Prime factors of 29540 are 2, 5, 7, 211. Prime factorization of 29540 in exponential form is:

29540 = 22 × 51 × 71 × 2111

Prime Factorization of 29549

Prime factors of 29549 are 13, 2273. Prime factorization of 29549 in exponential form is:

29549 = 131 × 22731

Now multiplying the highest exponent prime factors to calculate the LCM of 29540 and 29549.

LCM(29540,29549) = 22 × 51 × 71 × 2111 × 131 × 22731
LCM(29540,29549) = 872877460