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What is the Least Common Multiple of 93335 and 93348?

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 93335 and 93348 is 8712635580.

LCM(93335,93348) = 8712635580

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Least Common Multiple of 93335 and 93348 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93335 and 93348, than apply into the LCM equation.

GCF(93335,93348) = 1
LCM(93335,93348) = ( 93335 × 93348) / 1
LCM(93335,93348) = 8712635580 / 1
LCM(93335,93348) = 8712635580

Least Common Multiple (LCM) of 93335 and 93348 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93335 and 93348. First we will calculate the prime factors of 93335 and 93348.

Prime Factorization of 93335

Prime factors of 93335 are 5, 11, 1697. Prime factorization of 93335 in exponential form is:

93335 = 51 × 111 × 16971

Prime Factorization of 93348

Prime factors of 93348 are 2, 3, 2593. Prime factorization of 93348 in exponential form is:

93348 = 22 × 32 × 25931

Now multiplying the highest exponent prime factors to calculate the LCM of 93335 and 93348.

LCM(93335,93348) = 51 × 111 × 16971 × 22 × 32 × 25931
LCM(93335,93348) = 8712635580