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What is the Least Common Multiple of 5114 and 5123?

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 5114 and 5123 is 26199022.

LCM(5114,5123) = 26199022

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Least Common Multiple of 5114 and 5123 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 5114 and 5123, than apply into the LCM equation.

GCF(5114,5123) = 1
LCM(5114,5123) = ( 5114 × 5123) / 1
LCM(5114,5123) = 26199022 / 1
LCM(5114,5123) = 26199022

Least Common Multiple (LCM) of 5114 and 5123 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 5114 and 5123. First we will calculate the prime factors of 5114 and 5123.

Prime Factorization of 5114

Prime factors of 5114 are 2, 2557. Prime factorization of 5114 in exponential form is:

5114 = 21 × 25571

Prime Factorization of 5123

Prime factors of 5123 are 47, 109. Prime factorization of 5123 in exponential form is:

5123 = 471 × 1091

Now multiplying the highest exponent prime factors to calculate the LCM of 5114 and 5123.

LCM(5114,5123) = 21 × 25571 × 471 × 1091
LCM(5114,5123) = 26199022