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What is the Least Common Multiple of 29764 and 29782?

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 29764 and 29782 is 443215724.

LCM(29764,29782) = 443215724

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Least Common Multiple of 29764 and 29782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29764 and 29782, than apply into the LCM equation.

GCF(29764,29782) = 2
LCM(29764,29782) = ( 29764 × 29782) / 2
LCM(29764,29782) = 886431448 / 2
LCM(29764,29782) = 443215724

Least Common Multiple (LCM) of 29764 and 29782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29764 and 29782. First we will calculate the prime factors of 29764 and 29782.

Prime Factorization of 29764

Prime factors of 29764 are 2, 7, 1063. Prime factorization of 29764 in exponential form is:

29764 = 22 × 71 × 10631

Prime Factorization of 29782

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

29782 = 21 × 148911

Now multiplying the highest exponent prime factors to calculate the LCM of 29764 and 29782.

LCM(29764,29782) = 22 × 71 × 10631 × 148911
LCM(29764,29782) = 443215724