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What is the Least Common Multiple of 12075 and 12079?

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 12075 and 12079 is 145853925.

LCM(12075,12079) = 145853925

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Least Common Multiple of 12075 and 12079 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12075 and 12079, than apply into the LCM equation.

GCF(12075,12079) = 1
LCM(12075,12079) = ( 12075 × 12079) / 1
LCM(12075,12079) = 145853925 / 1
LCM(12075,12079) = 145853925

Least Common Multiple (LCM) of 12075 and 12079 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12075 and 12079. First we will calculate the prime factors of 12075 and 12079.

Prime Factorization of 12075

Prime factors of 12075 are 3, 5, 7, 23. Prime factorization of 12075 in exponential form is:

12075 = 31 × 52 × 71 × 231

Prime Factorization of 12079

Prime factors of 12079 are 47, 257. Prime factorization of 12079 in exponential form is:

12079 = 471 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 12075 and 12079.

LCM(12075,12079) = 31 × 52 × 71 × 231 × 471 × 2571
LCM(12075,12079) = 145853925