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What is the Least Common Multiple of 65941 and 65952?

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 65941 and 65952 is 4348940832.

LCM(65941,65952) = 4348940832

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Least Common Multiple of 65941 and 65952 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65941 and 65952, than apply into the LCM equation.

GCF(65941,65952) = 1
LCM(65941,65952) = ( 65941 × 65952) / 1
LCM(65941,65952) = 4348940832 / 1
LCM(65941,65952) = 4348940832

Least Common Multiple (LCM) of 65941 and 65952 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65941 and 65952. First we will calculate the prime factors of 65941 and 65952.

Prime Factorization of 65941

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

65941 = 231 × 471 × 611

Prime Factorization of 65952

Prime factors of 65952 are 2, 3, 229. Prime factorization of 65952 in exponential form is:

65952 = 25 × 32 × 2291

Now multiplying the highest exponent prime factors to calculate the LCM of 65941 and 65952.

LCM(65941,65952) = 231 × 471 × 611 × 25 × 32 × 2291
LCM(65941,65952) = 4348940832