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What is the Least Common Multiple of 69389 and 69393?

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 69389 and 69393 is 4815110877.

LCM(69389,69393) = 4815110877

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Least Common Multiple of 69389 and 69393 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69389 and 69393, than apply into the LCM equation.

GCF(69389,69393) = 1
LCM(69389,69393) = ( 69389 × 69393) / 1
LCM(69389,69393) = 4815110877 / 1
LCM(69389,69393) = 4815110877

Least Common Multiple (LCM) of 69389 and 69393 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69389 and 69393. First we will calculate the prime factors of 69389 and 69393.

Prime Factorization of 69389

Prime factors of 69389 are 69389. Prime factorization of 69389 in exponential form is:

69389 = 693891

Prime Factorization of 69393

Prime factors of 69393 are 3, 23131. Prime factorization of 69393 in exponential form is:

69393 = 31 × 231311

Now multiplying the highest exponent prime factors to calculate the LCM of 69389 and 69393.

LCM(69389,69393) = 693891 × 31 × 231311
LCM(69389,69393) = 4815110877