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What is the Least Common Multiple of 69357 and 69370?

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 69357 and 69370 is 4811295090.

LCM(69357,69370) = 4811295090

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Least Common Multiple of 69357 and 69370 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69357 and 69370, than apply into the LCM equation.

GCF(69357,69370) = 1
LCM(69357,69370) = ( 69357 × 69370) / 1
LCM(69357,69370) = 4811295090 / 1
LCM(69357,69370) = 4811295090

Least Common Multiple (LCM) of 69357 and 69370 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69357 and 69370. First we will calculate the prime factors of 69357 and 69370.

Prime Factorization of 69357

Prime factors of 69357 are 3, 61, 379. Prime factorization of 69357 in exponential form is:

69357 = 31 × 611 × 3791

Prime Factorization of 69370

Prime factors of 69370 are 2, 5, 7, 991. Prime factorization of 69370 in exponential form is:

69370 = 21 × 51 × 71 × 9911

Now multiplying the highest exponent prime factors to calculate the LCM of 69357 and 69370.

LCM(69357,69370) = 31 × 611 × 3791 × 21 × 51 × 71 × 9911
LCM(69357,69370) = 4811295090