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What is the Least Common Multiple of 93745 and 93752?

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 93745 and 93752 is 8788781240.

LCM(93745,93752) = 8788781240

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Least Common Multiple of 93745 and 93752 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93745 and 93752, than apply into the LCM equation.

GCF(93745,93752) = 1
LCM(93745,93752) = ( 93745 × 93752) / 1
LCM(93745,93752) = 8788781240 / 1
LCM(93745,93752) = 8788781240

Least Common Multiple (LCM) of 93745 and 93752 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93745 and 93752. First we will calculate the prime factors of 93745 and 93752.

Prime Factorization of 93745

Prime factors of 93745 are 5, 18749. Prime factorization of 93745 in exponential form is:

93745 = 51 × 187491

Prime Factorization of 93752

Prime factors of 93752 are 2, 11719. Prime factorization of 93752 in exponential form is:

93752 = 23 × 117191

Now multiplying the highest exponent prime factors to calculate the LCM of 93745 and 93752.

LCM(93745,93752) = 51 × 187491 × 23 × 117191
LCM(93745,93752) = 8788781240