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What is the Least Common Multiple of 67724 and 67739?

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 67724 and 67739 is 4587556036.

LCM(67724,67739) = 4587556036

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Least Common Multiple of 67724 and 67739 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67724 and 67739, than apply into the LCM equation.

GCF(67724,67739) = 1
LCM(67724,67739) = ( 67724 × 67739) / 1
LCM(67724,67739) = 4587556036 / 1
LCM(67724,67739) = 4587556036

Least Common Multiple (LCM) of 67724 and 67739 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67724 and 67739. First we will calculate the prime factors of 67724 and 67739.

Prime Factorization of 67724

Prime factors of 67724 are 2, 16931. Prime factorization of 67724 in exponential form is:

67724 = 22 × 169311

Prime Factorization of 67739

Prime factors of 67739 are 7, 9677. Prime factorization of 67739 in exponential form is:

67739 = 71 × 96771

Now multiplying the highest exponent prime factors to calculate the LCM of 67724 and 67739.

LCM(67724,67739) = 22 × 169311 × 71 × 96771
LCM(67724,67739) = 4587556036