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What is the Least Common Multiple of 12254 and 12260?

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 12254 and 12260 is 75117020.

LCM(12254,12260) = 75117020

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Least Common Multiple of 12254 and 12260 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12254 and 12260, than apply into the LCM equation.

GCF(12254,12260) = 2
LCM(12254,12260) = ( 12254 × 12260) / 2
LCM(12254,12260) = 150234040 / 2
LCM(12254,12260) = 75117020

Least Common Multiple (LCM) of 12254 and 12260 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12254 and 12260. First we will calculate the prime factors of 12254 and 12260.

Prime Factorization of 12254

Prime factors of 12254 are 2, 11, 557. Prime factorization of 12254 in exponential form is:

12254 = 21 × 111 × 5571

Prime Factorization of 12260

Prime factors of 12260 are 2, 5, 613. Prime factorization of 12260 in exponential form is:

12260 = 22 × 51 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 12254 and 12260.

LCM(12254,12260) = 22 × 111 × 5571 × 51 × 6131
LCM(12254,12260) = 75117020