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What is the Least Common Multiple of 96370 and 96389?

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 96370 and 96389 is 9289007930.

LCM(96370,96389) = 9289007930

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Least Common Multiple of 96370 and 96389 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 96370 and 96389, than apply into the LCM equation.

GCF(96370,96389) = 1
LCM(96370,96389) = ( 96370 × 96389) / 1
LCM(96370,96389) = 9289007930 / 1
LCM(96370,96389) = 9289007930

Least Common Multiple (LCM) of 96370 and 96389 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 96370 and 96389. First we will calculate the prime factors of 96370 and 96389.

Prime Factorization of 96370

Prime factors of 96370 are 2, 5, 23, 419. Prime factorization of 96370 in exponential form is:

96370 = 21 × 51 × 231 × 4191

Prime Factorization of 96389

Prime factors of 96389 are 113, 853. Prime factorization of 96389 in exponential form is:

96389 = 1131 × 8531

Now multiplying the highest exponent prime factors to calculate the LCM of 96370 and 96389.

LCM(96370,96389) = 21 × 51 × 231 × 4191 × 1131 × 8531
LCM(96370,96389) = 9289007930