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What is the Least Common Multiple of 53833 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 53833 and 53847 is 2898745551.

LCM(53833,53847) = 2898745551

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Least Common Multiple of 53833 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 53833 and 53847, than apply into the LCM equation.

GCF(53833,53847) = 1
LCM(53833,53847) = ( 53833 × 53847) / 1
LCM(53833,53847) = 2898745551 / 1
LCM(53833,53847) = 2898745551

Least Common Multiple (LCM) of 53833 and 53847 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53833 and 53847. First we will calculate the prime factors of 53833 and 53847.

Prime Factorization of 53833

Prime factors of 53833 are 13, 41, 101. Prime factorization of 53833 in exponential form is:

53833 = 131 × 411 × 1011

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 53833 and 53847.

LCM(53833,53847) = 131 × 411 × 1011 × 32 × 311 × 1931
LCM(53833,53847) = 2898745551