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What is the Least Common Multiple of 93119 and 93131?

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 93119 and 93131 is 8672265589.

LCM(93119,93131) = 8672265589

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Least Common Multiple of 93119 and 93131 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 93119 and 93131, than apply into the LCM equation.

GCF(93119,93131) = 1
LCM(93119,93131) = ( 93119 × 93131) / 1
LCM(93119,93131) = 8672265589 / 1
LCM(93119,93131) = 8672265589

Least Common Multiple (LCM) of 93119 and 93131 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 93119 and 93131. First we will calculate the prime factors of 93119 and 93131.

Prime Factorization of 93119

Prime factors of 93119 are 13, 19, 29. Prime factorization of 93119 in exponential form is:

93119 = 132 × 191 × 291

Prime Factorization of 93131

Prime factors of 93131 are 93131. Prime factorization of 93131 in exponential form is:

93131 = 931311

Now multiplying the highest exponent prime factors to calculate the LCM of 93119 and 93131.

LCM(93119,93131) = 132 × 191 × 291 × 931311
LCM(93119,93131) = 8672265589