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What is the Least Common Multiple of 67569 and 67585?

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 67569 and 67585 is 4566650865.

LCM(67569,67585) = 4566650865

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Least Common Multiple of 67569 and 67585 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67569 and 67585, than apply into the LCM equation.

GCF(67569,67585) = 1
LCM(67569,67585) = ( 67569 × 67585) / 1
LCM(67569,67585) = 4566650865 / 1
LCM(67569,67585) = 4566650865

Least Common Multiple (LCM) of 67569 and 67585 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67569 and 67585. First we will calculate the prime factors of 67569 and 67585.

Prime Factorization of 67569

Prime factors of 67569 are 3, 101, 223. Prime factorization of 67569 in exponential form is:

67569 = 31 × 1011 × 2231

Prime Factorization of 67585

Prime factors of 67585 are 5, 7, 1931. Prime factorization of 67585 in exponential form is:

67585 = 51 × 71 × 19311

Now multiplying the highest exponent prime factors to calculate the LCM of 67569 and 67585.

LCM(67569,67585) = 31 × 1011 × 2231 × 51 × 71 × 19311
LCM(67569,67585) = 4566650865