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What is the Least Common Multiple of 29516 and 29535?

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 29516 and 29535 is 871755060.

LCM(29516,29535) = 871755060

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Least Common Multiple of 29516 and 29535 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29516 and 29535, than apply into the LCM equation.

GCF(29516,29535) = 1
LCM(29516,29535) = ( 29516 × 29535) / 1
LCM(29516,29535) = 871755060 / 1
LCM(29516,29535) = 871755060

Least Common Multiple (LCM) of 29516 and 29535 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29516 and 29535. First we will calculate the prime factors of 29516 and 29535.

Prime Factorization of 29516

Prime factors of 29516 are 2, 47, 157. Prime factorization of 29516 in exponential form is:

29516 = 22 × 471 × 1571

Prime Factorization of 29535

Prime factors of 29535 are 3, 5, 11, 179. Prime factorization of 29535 in exponential form is:

29535 = 31 × 51 × 111 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 29516 and 29535.

LCM(29516,29535) = 22 × 471 × 1571 × 31 × 51 × 111 × 1791
LCM(29516,29535) = 871755060