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What is the Least Common Multiple of 29382 and 29393?

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 29382 and 29393 is 863625126.

LCM(29382,29393) = 863625126

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Least Common Multiple of 29382 and 29393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 29382 and 29393, than apply into the LCM equation.

GCF(29382,29393) = 1
LCM(29382,29393) = ( 29382 × 29393) / 1
LCM(29382,29393) = 863625126 / 1
LCM(29382,29393) = 863625126

Least Common Multiple (LCM) of 29382 and 29393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 29382 and 29393. First we will calculate the prime factors of 29382 and 29393.

Prime Factorization of 29382

Prime factors of 29382 are 2, 3, 59, 83. Prime factorization of 29382 in exponential form is:

29382 = 21 × 31 × 591 × 831

Prime Factorization of 29393

Prime factors of 29393 are 7, 13, 17, 19. Prime factorization of 29393 in exponential form is:

29393 = 71 × 131 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 29382 and 29393.

LCM(29382,29393) = 21 × 31 × 591 × 831 × 71 × 131 × 171 × 191
LCM(29382,29393) = 863625126