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What is the Least Common Multiple of 69143 and 69152?

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 69143 and 69152 is 4781376736.

LCM(69143,69152) = 4781376736

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Least Common Multiple of 69143 and 69152 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69143 and 69152, than apply into the LCM equation.

GCF(69143,69152) = 1
LCM(69143,69152) = ( 69143 × 69152) / 1
LCM(69143,69152) = 4781376736 / 1
LCM(69143,69152) = 4781376736

Least Common Multiple (LCM) of 69143 and 69152 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69143 and 69152. First we will calculate the prime factors of 69143 and 69152.

Prime Factorization of 69143

Prime factors of 69143 are 69143. Prime factorization of 69143 in exponential form is:

69143 = 691431

Prime Factorization of 69152

Prime factors of 69152 are 2, 2161. Prime factorization of 69152 in exponential form is:

69152 = 25 × 21611

Now multiplying the highest exponent prime factors to calculate the LCM of 69143 and 69152.

LCM(69143,69152) = 691431 × 25 × 21611
LCM(69143,69152) = 4781376736