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What is the Least Common Multiple of 69231 and 69244?

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 69231 and 69244 is 4793831364.

LCM(69231,69244) = 4793831364

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Least Common Multiple of 69231 and 69244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69231 and 69244, than apply into the LCM equation.

GCF(69231,69244) = 1
LCM(69231,69244) = ( 69231 × 69244) / 1
LCM(69231,69244) = 4793831364 / 1
LCM(69231,69244) = 4793831364

Least Common Multiple (LCM) of 69231 and 69244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69231 and 69244. First we will calculate the prime factors of 69231 and 69244.

Prime Factorization of 69231

Prime factors of 69231 are 3, 47, 491. Prime factorization of 69231 in exponential form is:

69231 = 31 × 471 × 4911

Prime Factorization of 69244

Prime factors of 69244 are 2, 7, 2473. Prime factorization of 69244 in exponential form is:

69244 = 22 × 71 × 24731

Now multiplying the highest exponent prime factors to calculate the LCM of 69231 and 69244.

LCM(69231,69244) = 31 × 471 × 4911 × 22 × 71 × 24731
LCM(69231,69244) = 4793831364