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What is the Least Common Multiple of 37923 and 37937?

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 37923 and 37937 is 1438684851.

LCM(37923,37937) = 1438684851

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Least Common Multiple of 37923 and 37937 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 37923 and 37937, than apply into the LCM equation.

GCF(37923,37937) = 1
LCM(37923,37937) = ( 37923 × 37937) / 1
LCM(37923,37937) = 1438684851 / 1
LCM(37923,37937) = 1438684851

Least Common Multiple (LCM) of 37923 and 37937 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 37923 and 37937. First we will calculate the prime factors of 37923 and 37937.

Prime Factorization of 37923

Prime factors of 37923 are 3, 12641. Prime factorization of 37923 in exponential form is:

37923 = 31 × 126411

Prime Factorization of 37937

Prime factors of 37937 are 59, 643. Prime factorization of 37937 in exponential form is:

37937 = 591 × 6431

Now multiplying the highest exponent prime factors to calculate the LCM of 37923 and 37937.

LCM(37923,37937) = 31 × 126411 × 591 × 6431
LCM(37923,37937) = 1438684851