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What is the Least Common Multiple of 69116 and 69133?

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 69116 and 69133 is 4778196428.

LCM(69116,69133) = 4778196428

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Least Common Multiple of 69116 and 69133 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69116 and 69133, than apply into the LCM equation.

GCF(69116,69133) = 1
LCM(69116,69133) = ( 69116 × 69133) / 1
LCM(69116,69133) = 4778196428 / 1
LCM(69116,69133) = 4778196428

Least Common Multiple (LCM) of 69116 and 69133 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69116 and 69133. First we will calculate the prime factors of 69116 and 69133.

Prime Factorization of 69116

Prime factors of 69116 are 2, 37, 467. Prime factorization of 69116 in exponential form is:

69116 = 22 × 371 × 4671

Prime Factorization of 69133

Prime factors of 69133 are 257, 269. Prime factorization of 69133 in exponential form is:

69133 = 2571 × 2691

Now multiplying the highest exponent prime factors to calculate the LCM of 69116 and 69133.

LCM(69116,69133) = 22 × 371 × 4671 × 2571 × 2691
LCM(69116,69133) = 4778196428