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What is the Least Common Multiple of 12410 and 12425?

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 12410 and 12425 is 30838850.

LCM(12410,12425) = 30838850

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Least Common Multiple of 12410 and 12425 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12410 and 12425, than apply into the LCM equation.

GCF(12410,12425) = 5
LCM(12410,12425) = ( 12410 × 12425) / 5
LCM(12410,12425) = 154194250 / 5
LCM(12410,12425) = 30838850

Least Common Multiple (LCM) of 12410 and 12425 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12410 and 12425. First we will calculate the prime factors of 12410 and 12425.

Prime Factorization of 12410

Prime factors of 12410 are 2, 5, 17, 73. Prime factorization of 12410 in exponential form is:

12410 = 21 × 51 × 171 × 731

Prime Factorization of 12425

Prime factors of 12425 are 5, 7, 71. Prime factorization of 12425 in exponential form is:

12425 = 52 × 71 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 12410 and 12425.

LCM(12410,12425) = 21 × 52 × 171 × 731 × 71 × 711
LCM(12410,12425) = 30838850