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What is the Least Common Multiple of 12037 and 12050?

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 12037 and 12050 is 145045850.

LCM(12037,12050) = 145045850

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Least Common Multiple of 12037 and 12050 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 12037 and 12050, than apply into the LCM equation.

GCF(12037,12050) = 1
LCM(12037,12050) = ( 12037 × 12050) / 1
LCM(12037,12050) = 145045850 / 1
LCM(12037,12050) = 145045850

Least Common Multiple (LCM) of 12037 and 12050 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 12037 and 12050. First we will calculate the prime factors of 12037 and 12050.

Prime Factorization of 12037

Prime factors of 12037 are 12037. Prime factorization of 12037 in exponential form is:

12037 = 120371

Prime Factorization of 12050

Prime factors of 12050 are 2, 5, 241. Prime factorization of 12050 in exponential form is:

12050 = 21 × 52 × 2411

Now multiplying the highest exponent prime factors to calculate the LCM of 12037 and 12050.

LCM(12037,12050) = 120371 × 21 × 52 × 2411
LCM(12037,12050) = 145045850