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What is the Least Common Multiple of 12518 and 12523?

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 12518 and 12523 is 156762914.

LCM(12518,12523) = 156762914

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Least Common Multiple of 12518 and 12523 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12518 and 12523, than apply into the LCM equation.

GCF(12518,12523) = 1
LCM(12518,12523) = ( 12518 × 12523) / 1
LCM(12518,12523) = 156762914 / 1
LCM(12518,12523) = 156762914

Least Common Multiple (LCM) of 12518 and 12523 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12518 and 12523. First we will calculate the prime factors of 12518 and 12523.

Prime Factorization of 12518

Prime factors of 12518 are 2, 11, 569. Prime factorization of 12518 in exponential form is:

12518 = 21 × 111 × 5691

Prime Factorization of 12523

Prime factors of 12523 are 7, 1789. Prime factorization of 12523 in exponential form is:

12523 = 71 × 17891

Now multiplying the highest exponent prime factors to calculate the LCM of 12518 and 12523.

LCM(12518,12523) = 21 × 111 × 5691 × 71 × 17891
LCM(12518,12523) = 156762914