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What is the Least Common Multiple of 67333 and 67344?

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 67333 and 67344 is 4534473552.

LCM(67333,67344) = 4534473552

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Least Common Multiple of 67333 and 67344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67333 and 67344, than apply into the LCM equation.

GCF(67333,67344) = 1
LCM(67333,67344) = ( 67333 × 67344) / 1
LCM(67333,67344) = 4534473552 / 1
LCM(67333,67344) = 4534473552

Least Common Multiple (LCM) of 67333 and 67344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67333 and 67344. First we will calculate the prime factors of 67333 and 67344.

Prime Factorization of 67333

Prime factors of 67333 are 7, 9619. Prime factorization of 67333 in exponential form is:

67333 = 71 × 96191

Prime Factorization of 67344

Prime factors of 67344 are 2, 3, 23, 61. Prime factorization of 67344 in exponential form is:

67344 = 24 × 31 × 231 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 67333 and 67344.

LCM(67333,67344) = 71 × 96191 × 24 × 31 × 231 × 611
LCM(67333,67344) = 4534473552