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What is the Least Common Multiple of 65931 and 65943?

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 65931 and 65943 is 1449229311.

LCM(65931,65943) = 1449229311

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Least Common Multiple of 65931 and 65943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65931 and 65943, than apply into the LCM equation.

GCF(65931,65943) = 3
LCM(65931,65943) = ( 65931 × 65943) / 3
LCM(65931,65943) = 4347687933 / 3
LCM(65931,65943) = 1449229311

Least Common Multiple (LCM) of 65931 and 65943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65931 and 65943. First we will calculate the prime factors of 65931 and 65943.

Prime Factorization of 65931

Prime factors of 65931 are 3, 21977. Prime factorization of 65931 in exponential form is:

65931 = 31 × 219771

Prime Factorization of 65943

Prime factors of 65943 are 3, 17, 431. Prime factorization of 65943 in exponential form is:

65943 = 32 × 171 × 4311

Now multiplying the highest exponent prime factors to calculate the LCM of 65931 and 65943.

LCM(65931,65943) = 32 × 219771 × 171 × 4311
LCM(65931,65943) = 1449229311