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What is the Least Common Multiple of 12245 and 12264?

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 12245 and 12264 is 150172680.

LCM(12245,12264) = 150172680

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Least Common Multiple of 12245 and 12264 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12245 and 12264, than apply into the LCM equation.

GCF(12245,12264) = 1
LCM(12245,12264) = ( 12245 × 12264) / 1
LCM(12245,12264) = 150172680 / 1
LCM(12245,12264) = 150172680

Least Common Multiple (LCM) of 12245 and 12264 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12245 and 12264. First we will calculate the prime factors of 12245 and 12264.

Prime Factorization of 12245

Prime factors of 12245 are 5, 31, 79. Prime factorization of 12245 in exponential form is:

12245 = 51 × 311 × 791

Prime Factorization of 12264

Prime factors of 12264 are 2, 3, 7, 73. Prime factorization of 12264 in exponential form is:

12264 = 23 × 31 × 71 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 12245 and 12264.

LCM(12245,12264) = 51 × 311 × 791 × 23 × 31 × 71 × 731
LCM(12245,12264) = 150172680