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What is the Least Common Multiple of 53837 and 53847?

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 53837 and 53847 is 2898960939.

LCM(53837,53847) = 2898960939

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Least Common Multiple of 53837 and 53847 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53837 and 53847, than apply into the LCM equation.

GCF(53837,53847) = 1
LCM(53837,53847) = ( 53837 × 53847) / 1
LCM(53837,53847) = 2898960939 / 1
LCM(53837,53847) = 2898960939

Least Common Multiple (LCM) of 53837 and 53847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53837 and 53847. First we will calculate the prime factors of 53837 and 53847.

Prime Factorization of 53837

Prime factors of 53837 are 7, 7691. Prime factorization of 53837 in exponential form is:

53837 = 71 × 76911

Prime Factorization of 53847

Prime factors of 53847 are 3, 31, 193. Prime factorization of 53847 in exponential form is:

53847 = 32 × 311 × 1931

Now multiplying the highest exponent prime factors to calculate the LCM of 53837 and 53847.

LCM(53837,53847) = 71 × 76911 × 32 × 311 × 1931
LCM(53837,53847) = 2898960939