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What is the Least Common Multiple of 93340 and 93352?

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 93340 and 93352 is 2178368920.

LCM(93340,93352) = 2178368920

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Least Common Multiple of 93340 and 93352 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93340 and 93352, than apply into the LCM equation.

GCF(93340,93352) = 4
LCM(93340,93352) = ( 93340 × 93352) / 4
LCM(93340,93352) = 8713475680 / 4
LCM(93340,93352) = 2178368920

Least Common Multiple (LCM) of 93340 and 93352 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93340 and 93352. First we will calculate the prime factors of 93340 and 93352.

Prime Factorization of 93340

Prime factors of 93340 are 2, 5, 13, 359. Prime factorization of 93340 in exponential form is:

93340 = 22 × 51 × 131 × 3591

Prime Factorization of 93352

Prime factors of 93352 are 2, 7, 1667. Prime factorization of 93352 in exponential form is:

93352 = 23 × 71 × 16671

Now multiplying the highest exponent prime factors to calculate the LCM of 93340 and 93352.

LCM(93340,93352) = 23 × 51 × 131 × 3591 × 71 × 16671
LCM(93340,93352) = 2178368920