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What is the Least Common Multiple of 65333 and 65337?

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 65333 and 65337 is 4268662221.

LCM(65333,65337) = 4268662221

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Least Common Multiple of 65333 and 65337 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65333 and 65337, than apply into the LCM equation.

GCF(65333,65337) = 1
LCM(65333,65337) = ( 65333 × 65337) / 1
LCM(65333,65337) = 4268662221 / 1
LCM(65333,65337) = 4268662221

Least Common Multiple (LCM) of 65333 and 65337 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65333 and 65337. First we will calculate the prime factors of 65333 and 65337.

Prime Factorization of 65333

Prime factors of 65333 are 79, 827. Prime factorization of 65333 in exponential form is:

65333 = 791 × 8271

Prime Factorization of 65337

Prime factors of 65337 are 3, 29, 751. Prime factorization of 65337 in exponential form is:

65337 = 31 × 291 × 7511

Now multiplying the highest exponent prime factors to calculate the LCM of 65333 and 65337.

LCM(65333,65337) = 791 × 8271 × 31 × 291 × 7511
LCM(65333,65337) = 4268662221