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What is the Least Common Multiple of 29782 and 29798?

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 29782 and 29798 is 443722018.

LCM(29782,29798) = 443722018

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Least Common Multiple of 29782 and 29798 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29782 and 29798, than apply into the LCM equation.

GCF(29782,29798) = 2
LCM(29782,29798) = ( 29782 × 29798) / 2
LCM(29782,29798) = 887444036 / 2
LCM(29782,29798) = 443722018

Least Common Multiple (LCM) of 29782 and 29798 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29782 and 29798. First we will calculate the prime factors of 29782 and 29798.

Prime Factorization of 29782

Prime factors of 29782 are 2, 14891. Prime factorization of 29782 in exponential form is:

29782 = 21 × 148911

Prime Factorization of 29798

Prime factors of 29798 are 2, 47, 317. Prime factorization of 29798 in exponential form is:

29798 = 21 × 471 × 3171

Now multiplying the highest exponent prime factors to calculate the LCM of 29782 and 29798.

LCM(29782,29798) = 21 × 148911 × 471 × 3171
LCM(29782,29798) = 443722018