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What is the Least Common Multiple of 6109 and 6122?

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 6109 and 6122 is 37399298.

LCM(6109,6122) = 37399298

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Least Common Multiple of 6109 and 6122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6109 and 6122, than apply into the LCM equation.

GCF(6109,6122) = 1
LCM(6109,6122) = ( 6109 × 6122) / 1
LCM(6109,6122) = 37399298 / 1
LCM(6109,6122) = 37399298

Least Common Multiple (LCM) of 6109 and 6122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6109 and 6122. First we will calculate the prime factors of 6109 and 6122.

Prime Factorization of 6109

Prime factors of 6109 are 41, 149. Prime factorization of 6109 in exponential form is:

6109 = 411 × 1491

Prime Factorization of 6122

Prime factors of 6122 are 2, 3061. Prime factorization of 6122 in exponential form is:

6122 = 21 × 30611

Now multiplying the highest exponent prime factors to calculate the LCM of 6109 and 6122.

LCM(6109,6122) = 411 × 1491 × 21 × 30611
LCM(6109,6122) = 37399298