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What is the Least Common Multiple of 69677 and 69691?

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 69677 and 69691 is 4855859807.

LCM(69677,69691) = 4855859807

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Least Common Multiple of 69677 and 69691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69677 and 69691, than apply into the LCM equation.

GCF(69677,69691) = 1
LCM(69677,69691) = ( 69677 × 69691) / 1
LCM(69677,69691) = 4855859807 / 1
LCM(69677,69691) = 4855859807

Least Common Multiple (LCM) of 69677 and 69691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69677 and 69691. First we will calculate the prime factors of 69677 and 69691.

Prime Factorization of 69677

Prime factors of 69677 are 69677. Prime factorization of 69677 in exponential form is:

69677 = 696771

Prime Factorization of 69691

Prime factors of 69691 are 69691. Prime factorization of 69691 in exponential form is:

69691 = 696911

Now multiplying the highest exponent prime factors to calculate the LCM of 69677 and 69691.

LCM(69677,69691) = 696771 × 696911
LCM(69677,69691) = 4855859807