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What is the Least Common Multiple of 69339 and 69355?

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 69339 and 69355 is 4809006345.

LCM(69339,69355) = 4809006345

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Least Common Multiple of 69339 and 69355 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69339 and 69355, than apply into the LCM equation.

GCF(69339,69355) = 1
LCM(69339,69355) = ( 69339 × 69355) / 1
LCM(69339,69355) = 4809006345 / 1
LCM(69339,69355) = 4809006345

Least Common Multiple (LCM) of 69339 and 69355 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69339 and 69355. First we will calculate the prime factors of 69339 and 69355.

Prime Factorization of 69339

Prime factors of 69339 are 3, 29, 797. Prime factorization of 69339 in exponential form is:

69339 = 31 × 291 × 7971

Prime Factorization of 69355

Prime factors of 69355 are 5, 11, 13, 97. Prime factorization of 69355 in exponential form is:

69355 = 51 × 111 × 131 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 69339 and 69355.

LCM(69339,69355) = 31 × 291 × 7971 × 51 × 111 × 131 × 971
LCM(69339,69355) = 4809006345