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What is the Least Common Multiple of 67588 and 67608?

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 67588 and 67608 is 1142372376.

LCM(67588,67608) = 1142372376

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Least Common Multiple of 67588 and 67608 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67588 and 67608, than apply into the LCM equation.

GCF(67588,67608) = 4
LCM(67588,67608) = ( 67588 × 67608) / 4
LCM(67588,67608) = 4569489504 / 4
LCM(67588,67608) = 1142372376

Least Common Multiple (LCM) of 67588 and 67608 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67588 and 67608. First we will calculate the prime factors of 67588 and 67608.

Prime Factorization of 67588

Prime factors of 67588 are 2, 61, 277. Prime factorization of 67588 in exponential form is:

67588 = 22 × 611 × 2771

Prime Factorization of 67608

Prime factors of 67608 are 2, 3, 313. Prime factorization of 67608 in exponential form is:

67608 = 23 × 33 × 3131

Now multiplying the highest exponent prime factors to calculate the LCM of 67588 and 67608.

LCM(67588,67608) = 23 × 611 × 2771 × 33 × 3131
LCM(67588,67608) = 1142372376