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What is the Least Common Multiple of 12250 and 12267?

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 12250 and 12267 is 150270750.

LCM(12250,12267) = 150270750

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Least Common Multiple of 12250 and 12267 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12250 and 12267, than apply into the LCM equation.

GCF(12250,12267) = 1
LCM(12250,12267) = ( 12250 × 12267) / 1
LCM(12250,12267) = 150270750 / 1
LCM(12250,12267) = 150270750

Least Common Multiple (LCM) of 12250 and 12267 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12250 and 12267. First we will calculate the prime factors of 12250 and 12267.

Prime Factorization of 12250

Prime factors of 12250 are 2, 5, 7. Prime factorization of 12250 in exponential form is:

12250 = 21 × 53 × 72

Prime Factorization of 12267

Prime factors of 12267 are 3, 29, 47. Prime factorization of 12267 in exponential form is:

12267 = 32 × 291 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 12250 and 12267.

LCM(12250,12267) = 21 × 53 × 72 × 32 × 291 × 471
LCM(12250,12267) = 150270750