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What is the Least Common Multiple of 37876 and 37881?

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 37876 and 37881 is 1434780756.

LCM(37876,37881) = 1434780756

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Least Common Multiple of 37876 and 37881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37876 and 37881, than apply into the LCM equation.

GCF(37876,37881) = 1
LCM(37876,37881) = ( 37876 × 37881) / 1
LCM(37876,37881) = 1434780756 / 1
LCM(37876,37881) = 1434780756

Least Common Multiple (LCM) of 37876 and 37881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37876 and 37881. First we will calculate the prime factors of 37876 and 37881.

Prime Factorization of 37876

Prime factors of 37876 are 2, 17, 557. Prime factorization of 37876 in exponential form is:

37876 = 22 × 171 × 5571

Prime Factorization of 37881

Prime factors of 37881 are 3, 23, 61. Prime factorization of 37881 in exponential form is:

37881 = 33 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 37876 and 37881.

LCM(37876,37881) = 22 × 171 × 5571 × 33 × 231 × 611
LCM(37876,37881) = 1434780756