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What is the Least Common Multiple of 69473 and 69481?

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 69473 and 69481 is 4827053513.

LCM(69473,69481) = 4827053513

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Least Common Multiple of 69473 and 69481 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69473 and 69481, than apply into the LCM equation.

GCF(69473,69481) = 1
LCM(69473,69481) = ( 69473 × 69481) / 1
LCM(69473,69481) = 4827053513 / 1
LCM(69473,69481) = 4827053513

Least Common Multiple (LCM) of 69473 and 69481 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69473 and 69481. First we will calculate the prime factors of 69473 and 69481.

Prime Factorization of 69473

Prime factors of 69473 are 69473. Prime factorization of 69473 in exponential form is:

69473 = 694731

Prime Factorization of 69481

Prime factors of 69481 are 69481. Prime factorization of 69481 in exponential form is:

69481 = 694811

Now multiplying the highest exponent prime factors to calculate the LCM of 69473 and 69481.

LCM(69473,69481) = 694731 × 694811
LCM(69473,69481) = 4827053513