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What is the Least Common Multiple of 12558 and 12575?

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 12558 and 12575 is 157916850.

LCM(12558,12575) = 157916850

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Least Common Multiple of 12558 and 12575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12558 and 12575, than apply into the LCM equation.

GCF(12558,12575) = 1
LCM(12558,12575) = ( 12558 × 12575) / 1
LCM(12558,12575) = 157916850 / 1
LCM(12558,12575) = 157916850

Least Common Multiple (LCM) of 12558 and 12575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12558 and 12575. First we will calculate the prime factors of 12558 and 12575.

Prime Factorization of 12558

Prime factors of 12558 are 2, 3, 7, 13, 23. Prime factorization of 12558 in exponential form is:

12558 = 21 × 31 × 71 × 131 × 231

Prime Factorization of 12575

Prime factors of 12575 are 5, 503. Prime factorization of 12575 in exponential form is:

12575 = 52 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 12558 and 12575.

LCM(12558,12575) = 21 × 31 × 71 × 131 × 231 × 52 × 5031
LCM(12558,12575) = 157916850