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What is the Least Common Multiple of 6094 and 6110?

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 6094 and 6110 is 18617170.

LCM(6094,6110) = 18617170

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Least Common Multiple of 6094 and 6110 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6094 and 6110, than apply into the LCM equation.

GCF(6094,6110) = 2
LCM(6094,6110) = ( 6094 × 6110) / 2
LCM(6094,6110) = 37234340 / 2
LCM(6094,6110) = 18617170

Least Common Multiple (LCM) of 6094 and 6110 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 6094 and 6110. First we will calculate the prime factors of 6094 and 6110.

Prime Factorization of 6094

Prime factors of 6094 are 2, 11, 277. Prime factorization of 6094 in exponential form is:

6094 = 21 × 111 × 2771

Prime Factorization of 6110

Prime factors of 6110 are 2, 5, 13, 47. Prime factorization of 6110 in exponential form is:

6110 = 21 × 51 × 131 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 6094 and 6110.

LCM(6094,6110) = 21 × 111 × 2771 × 51 × 131 × 471
LCM(6094,6110) = 18617170