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What is the Least Common Multiple of 69400 and 69404?

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 69400 and 69404 is 1204159400.

LCM(69400,69404) = 1204159400

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Least Common Multiple of 69400 and 69404 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69400 and 69404, than apply into the LCM equation.

GCF(69400,69404) = 4
LCM(69400,69404) = ( 69400 × 69404) / 4
LCM(69400,69404) = 4816637600 / 4
LCM(69400,69404) = 1204159400

Least Common Multiple (LCM) of 69400 and 69404 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69400 and 69404. First we will calculate the prime factors of 69400 and 69404.

Prime Factorization of 69400

Prime factors of 69400 are 2, 5, 347. Prime factorization of 69400 in exponential form is:

69400 = 23 × 52 × 3471

Prime Factorization of 69404

Prime factors of 69404 are 2, 17351. Prime factorization of 69404 in exponential form is:

69404 = 22 × 173511

Now multiplying the highest exponent prime factors to calculate the LCM of 69400 and 69404.

LCM(69400,69404) = 23 × 52 × 3471 × 173511
LCM(69400,69404) = 1204159400