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What is the Least Common Multiple of 69359 and 69376?

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 69359 and 69376 is 4811849984.

LCM(69359,69376) = 4811849984

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Least Common Multiple of 69359 and 69376 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69359 and 69376, than apply into the LCM equation.

GCF(69359,69376) = 1
LCM(69359,69376) = ( 69359 × 69376) / 1
LCM(69359,69376) = 4811849984 / 1
LCM(69359,69376) = 4811849984

Least Common Multiple (LCM) of 69359 and 69376 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69359 and 69376. First we will calculate the prime factors of 69359 and 69376.

Prime Factorization of 69359

Prime factors of 69359 are 43, 1613. Prime factorization of 69359 in exponential form is:

69359 = 431 × 16131

Prime Factorization of 69376

Prime factors of 69376 are 2, 271. Prime factorization of 69376 in exponential form is:

69376 = 28 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 69359 and 69376.

LCM(69359,69376) = 431 × 16131 × 28 × 2711
LCM(69359,69376) = 4811849984