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What is the Least Common Multiple of 37333 and 37341?

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 37333 and 37341 is 1394051553.

LCM(37333,37341) = 1394051553

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Least Common Multiple of 37333 and 37341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37333 and 37341, than apply into the LCM equation.

GCF(37333,37341) = 1
LCM(37333,37341) = ( 37333 × 37341) / 1
LCM(37333,37341) = 1394051553 / 1
LCM(37333,37341) = 1394051553

Least Common Multiple (LCM) of 37333 and 37341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37333 and 37341. First we will calculate the prime factors of 37333 and 37341.

Prime Factorization of 37333

Prime factors of 37333 are 37, 1009. Prime factorization of 37333 in exponential form is:

37333 = 371 × 10091

Prime Factorization of 37341

Prime factors of 37341 are 3, 461. Prime factorization of 37341 in exponential form is:

37341 = 34 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 37333 and 37341.

LCM(37333,37341) = 371 × 10091 × 34 × 4611
LCM(37333,37341) = 1394051553