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What is the Least Common Multiple of 67594 and 67600?

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 67594 and 67600 is 2284677200.

LCM(67594,67600) = 2284677200

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Least Common Multiple of 67594 and 67600 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67594 and 67600, than apply into the LCM equation.

GCF(67594,67600) = 2
LCM(67594,67600) = ( 67594 × 67600) / 2
LCM(67594,67600) = 4569354400 / 2
LCM(67594,67600) = 2284677200

Least Common Multiple (LCM) of 67594 and 67600 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67594 and 67600. First we will calculate the prime factors of 67594 and 67600.

Prime Factorization of 67594

Prime factors of 67594 are 2, 33797. Prime factorization of 67594 in exponential form is:

67594 = 21 × 337971

Prime Factorization of 67600

Prime factors of 67600 are 2, 5, 13. Prime factorization of 67600 in exponential form is:

67600 = 24 × 52 × 132

Now multiplying the highest exponent prime factors to calculate the LCM of 67594 and 67600.

LCM(67594,67600) = 24 × 337971 × 52 × 132
LCM(67594,67600) = 2284677200