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What is the Least Common Multiple of 69109 and 69123?

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 69109 and 69123 is 4777021407.

LCM(69109,69123) = 4777021407

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Least Common Multiple of 69109 and 69123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 69109 and 69123, than apply into the LCM equation.

GCF(69109,69123) = 1
LCM(69109,69123) = ( 69109 × 69123) / 1
LCM(69109,69123) = 4777021407 / 1
LCM(69109,69123) = 4777021407

Least Common Multiple (LCM) of 69109 and 69123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 69109 and 69123. First we will calculate the prime factors of 69109 and 69123.

Prime Factorization of 69109

Prime factors of 69109 are 69109. Prime factorization of 69109 in exponential form is:

69109 = 691091

Prime Factorization of 69123

Prime factors of 69123 are 3, 23041. Prime factorization of 69123 in exponential form is:

69123 = 31 × 230411

Now multiplying the highest exponent prime factors to calculate the LCM of 69109 and 69123.

LCM(69109,69123) = 691091 × 31 × 230411
LCM(69109,69123) = 4777021407