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What is the Least Common Multiple of 4114 and 4123?

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 4114 and 4123 is 16962022.

LCM(4114,4123) = 16962022

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Least Common Multiple of 4114 and 4123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4114 and 4123, than apply into the LCM equation.

GCF(4114,4123) = 1
LCM(4114,4123) = ( 4114 × 4123) / 1
LCM(4114,4123) = 16962022 / 1
LCM(4114,4123) = 16962022

Least Common Multiple (LCM) of 4114 and 4123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4114 and 4123. First we will calculate the prime factors of 4114 and 4123.

Prime Factorization of 4114

Prime factors of 4114 are 2, 11, 17. Prime factorization of 4114 in exponential form is:

4114 = 21 × 112 × 171

Prime Factorization of 4123

Prime factors of 4123 are 7, 19, 31. Prime factorization of 4123 in exponential form is:

4123 = 71 × 191 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4114 and 4123.

LCM(4114,4123) = 21 × 112 × 171 × 71 × 191 × 311
LCM(4114,4123) = 16962022