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What is the Least Common Multiple of 65945 and 65959?

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 65945 and 65959 is 4349666255.

LCM(65945,65959) = 4349666255

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Least Common Multiple of 65945 and 65959 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65945 and 65959, than apply into the LCM equation.

GCF(65945,65959) = 1
LCM(65945,65959) = ( 65945 × 65959) / 1
LCM(65945,65959) = 4349666255 / 1
LCM(65945,65959) = 4349666255

Least Common Multiple (LCM) of 65945 and 65959 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65945 and 65959. First we will calculate the prime factors of 65945 and 65959.

Prime Factorization of 65945

Prime factors of 65945 are 5, 11, 109. Prime factorization of 65945 in exponential form is:

65945 = 51 × 112 × 1091

Prime Factorization of 65959

Prime factors of 65959 are 71, 929. Prime factorization of 65959 in exponential form is:

65959 = 711 × 9291

Now multiplying the highest exponent prime factors to calculate the LCM of 65945 and 65959.

LCM(65945,65959) = 51 × 112 × 1091 × 711 × 9291
LCM(65945,65959) = 4349666255