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What is the Least Common Multiple of 65933 and 65941?

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 65933 and 65941 is 4347687953.

LCM(65933,65941) = 4347687953

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Least Common Multiple of 65933 and 65941 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65933 and 65941, than apply into the LCM equation.

GCF(65933,65941) = 1
LCM(65933,65941) = ( 65933 × 65941) / 1
LCM(65933,65941) = 4347687953 / 1
LCM(65933,65941) = 4347687953

Least Common Multiple (LCM) of 65933 and 65941 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65933 and 65941. First we will calculate the prime factors of 65933 and 65941.

Prime Factorization of 65933

Prime factors of 65933 are 7, 9419. Prime factorization of 65933 in exponential form is:

65933 = 71 × 94191

Prime Factorization of 65941

Prime factors of 65941 are 23, 47, 61. Prime factorization of 65941 in exponential form is:

65941 = 231 × 471 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 65933 and 65941.

LCM(65933,65941) = 71 × 94191 × 231 × 471 × 611
LCM(65933,65941) = 4347687953