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What is the Least Common Multiple of 29494 and 29498?

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 29494 and 29498 is 435007006.

LCM(29494,29498) = 435007006

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Least Common Multiple of 29494 and 29498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29494 and 29498, than apply into the LCM equation.

GCF(29494,29498) = 2
LCM(29494,29498) = ( 29494 × 29498) / 2
LCM(29494,29498) = 870014012 / 2
LCM(29494,29498) = 435007006

Least Common Multiple (LCM) of 29494 and 29498 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29494 and 29498. First we will calculate the prime factors of 29494 and 29498.

Prime Factorization of 29494

Prime factors of 29494 are 2, 14747. Prime factorization of 29494 in exponential form is:

29494 = 21 × 147471

Prime Factorization of 29498

Prime factors of 29498 are 2, 7, 43. Prime factorization of 29498 in exponential form is:

29498 = 21 × 73 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 29494 and 29498.

LCM(29494,29498) = 21 × 147471 × 73 × 431
LCM(29494,29498) = 435007006