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What is the Least Common Multiple of 93749 and 93760?

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 93749 and 93760 is 8789906240.

LCM(93749,93760) = 8789906240

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Least Common Multiple of 93749 and 93760 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93749 and 93760, than apply into the LCM equation.

GCF(93749,93760) = 1
LCM(93749,93760) = ( 93749 × 93760) / 1
LCM(93749,93760) = 8789906240 / 1
LCM(93749,93760) = 8789906240

Least Common Multiple (LCM) of 93749 and 93760 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93749 and 93760. First we will calculate the prime factors of 93749 and 93760.

Prime Factorization of 93749

Prime factors of 93749 are 241, 389. Prime factorization of 93749 in exponential form is:

93749 = 2411 × 3891

Prime Factorization of 93760

Prime factors of 93760 are 2, 5, 293. Prime factorization of 93760 in exponential form is:

93760 = 26 × 51 × 2931

Now multiplying the highest exponent prime factors to calculate the LCM of 93749 and 93760.

LCM(93749,93760) = 2411 × 3891 × 26 × 51 × 2931
LCM(93749,93760) = 8789906240