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What is the Least Common Multiple of 41337 and 41350?

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 41337 and 41350 is 1709284950.

LCM(41337,41350) = 1709284950

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Least Common Multiple of 41337 and 41350 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 41337 and 41350, than apply into the LCM equation.

GCF(41337,41350) = 1
LCM(41337,41350) = ( 41337 × 41350) / 1
LCM(41337,41350) = 1709284950 / 1
LCM(41337,41350) = 1709284950

Least Common Multiple (LCM) of 41337 and 41350 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 41337 and 41350. First we will calculate the prime factors of 41337 and 41350.

Prime Factorization of 41337

Prime factors of 41337 are 3, 1531. Prime factorization of 41337 in exponential form is:

41337 = 33 × 15311

Prime Factorization of 41350

Prime factors of 41350 are 2, 5, 827. Prime factorization of 41350 in exponential form is:

41350 = 21 × 52 × 8271

Now multiplying the highest exponent prime factors to calculate the LCM of 41337 and 41350.

LCM(41337,41350) = 33 × 15311 × 21 × 52 × 8271
LCM(41337,41350) = 1709284950