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What is the Least Common Multiple of 65667 and 65682?

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 65667 and 65682 is 1437713298.

LCM(65667,65682) = 1437713298

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Least Common Multiple of 65667 and 65682 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65667 and 65682, than apply into the LCM equation.

GCF(65667,65682) = 3
LCM(65667,65682) = ( 65667 × 65682) / 3
LCM(65667,65682) = 4313139894 / 3
LCM(65667,65682) = 1437713298

Least Common Multiple (LCM) of 65667 and 65682 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65667 and 65682. First we will calculate the prime factors of 65667 and 65682.

Prime Factorization of 65667

Prime factors of 65667 are 3, 7, 53, 59. Prime factorization of 65667 in exponential form is:

65667 = 31 × 71 × 531 × 591

Prime Factorization of 65682

Prime factors of 65682 are 2, 3, 41, 89. Prime factorization of 65682 in exponential form is:

65682 = 21 × 32 × 411 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 65667 and 65682.

LCM(65667,65682) = 32 × 71 × 531 × 591 × 21 × 411 × 891
LCM(65667,65682) = 1437713298