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What is the Least Common Multiple of 93591 and 93610?

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 93591 and 93610 is 8761053510.

LCM(93591,93610) = 8761053510

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Least Common Multiple of 93591 and 93610 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93591 and 93610, than apply into the LCM equation.

GCF(93591,93610) = 1
LCM(93591,93610) = ( 93591 × 93610) / 1
LCM(93591,93610) = 8761053510 / 1
LCM(93591,93610) = 8761053510

Least Common Multiple (LCM) of 93591 and 93610 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93591 and 93610. First we will calculate the prime factors of 93591 and 93610.

Prime Factorization of 93591

Prime factors of 93591 are 3, 10399. Prime factorization of 93591 in exponential form is:

93591 = 32 × 103991

Prime Factorization of 93610

Prime factors of 93610 are 2, 5, 11, 23, 37. Prime factorization of 93610 in exponential form is:

93610 = 21 × 51 × 111 × 231 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 93591 and 93610.

LCM(93591,93610) = 32 × 103991 × 21 × 51 × 111 × 231 × 371
LCM(93591,93610) = 8761053510