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What is the Least Common Multiple of 93353 and 93366?

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 93353 and 93366 is 670461246.

LCM(93353,93366) = 670461246

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Least Common Multiple of 93353 and 93366 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93353 and 93366, than apply into the LCM equation.

GCF(93353,93366) = 13
LCM(93353,93366) = ( 93353 × 93366) / 13
LCM(93353,93366) = 8715996198 / 13
LCM(93353,93366) = 670461246

Least Common Multiple (LCM) of 93353 and 93366 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93353 and 93366. First we will calculate the prime factors of 93353 and 93366.

Prime Factorization of 93353

Prime factors of 93353 are 13, 43, 167. Prime factorization of 93353 in exponential form is:

93353 = 131 × 431 × 1671

Prime Factorization of 93366

Prime factors of 93366 are 2, 3, 7, 13, 19. Prime factorization of 93366 in exponential form is:

93366 = 21 × 33 × 71 × 131 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 93353 and 93366.

LCM(93353,93366) = 131 × 431 × 1671 × 21 × 33 × 71 × 191
LCM(93353,93366) = 670461246