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What is the Least Common Multiple of 69545 and 69551?

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 69545 and 69551 is 4836924295.

LCM(69545,69551) = 4836924295

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Least Common Multiple of 69545 and 69551 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69545 and 69551, than apply into the LCM equation.

GCF(69545,69551) = 1
LCM(69545,69551) = ( 69545 × 69551) / 1
LCM(69545,69551) = 4836924295 / 1
LCM(69545,69551) = 4836924295

Least Common Multiple (LCM) of 69545 and 69551 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69545 and 69551. First we will calculate the prime factors of 69545 and 69551.

Prime Factorization of 69545

Prime factors of 69545 are 5, 7, 1987. Prime factorization of 69545 in exponential form is:

69545 = 51 × 71 × 19871

Prime Factorization of 69551

Prime factors of 69551 are 157, 443. Prime factorization of 69551 in exponential form is:

69551 = 1571 × 4431

Now multiplying the highest exponent prime factors to calculate the LCM of 69545 and 69551.

LCM(69545,69551) = 51 × 71 × 19871 × 1571 × 4431
LCM(69545,69551) = 4836924295