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What is the Least Common Multiple of 29731 and 29746?

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 29731 and 29746 is 884378326.

LCM(29731,29746) = 884378326

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Least Common Multiple of 29731 and 29746 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29731 and 29746, than apply into the LCM equation.

GCF(29731,29746) = 1
LCM(29731,29746) = ( 29731 × 29746) / 1
LCM(29731,29746) = 884378326 / 1
LCM(29731,29746) = 884378326

Least Common Multiple (LCM) of 29731 and 29746 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29731 and 29746. First we will calculate the prime factors of 29731 and 29746.

Prime Factorization of 29731

Prime factors of 29731 are 13, 2287. Prime factorization of 29731 in exponential form is:

29731 = 131 × 22871

Prime Factorization of 29746

Prime factors of 29746 are 2, 107, 139. Prime factorization of 29746 in exponential form is:

29746 = 21 × 1071 × 1391

Now multiplying the highest exponent prime factors to calculate the LCM of 29731 and 29746.

LCM(29731,29746) = 131 × 22871 × 21 × 1071 × 1391
LCM(29731,29746) = 884378326