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What is the Least Common Multiple of 12250 and 12268?

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 12268 is 75141500.

LCM(12250,12268) = 75141500

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Least Common Multiple of 12250 and 12268 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 12268, than apply into the LCM equation.

GCF(12250,12268) = 2
LCM(12250,12268) = ( 12250 × 12268) / 2
LCM(12250,12268) = 150283000 / 2
LCM(12250,12268) = 75141500

Least Common Multiple (LCM) of 12250 and 12268 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12250 and 12268. First we will calculate the prime factors of 12250 and 12268.

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 12268

Prime factors of 12268 are 2, 3067. Prime factorization of 12268 in exponential form is:

12268 = 22 × 30671

Now multiplying the highest exponent prime factors to calculate the LCM of 12250 and 12268.

LCM(12250,12268) = 22 × 53 × 72 × 30671
LCM(12250,12268) = 75141500