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What is the Least Common Multiple of 67673 and 67681?

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 67673 and 67681 is 4580176313.

LCM(67673,67681) = 4580176313

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Least Common Multiple of 67673 and 67681 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67673 and 67681, than apply into the LCM equation.

GCF(67673,67681) = 1
LCM(67673,67681) = ( 67673 × 67681) / 1
LCM(67673,67681) = 4580176313 / 1
LCM(67673,67681) = 4580176313

Least Common Multiple (LCM) of 67673 and 67681 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67673 and 67681. First we will calculate the prime factors of 67673 and 67681.

Prime Factorization of 67673

Prime factors of 67673 are 31, 37, 59. Prime factorization of 67673 in exponential form is:

67673 = 311 × 371 × 591

Prime Factorization of 67681

Prime factors of 67681 are 53, 1277. Prime factorization of 67681 in exponential form is:

67681 = 531 × 12771

Now multiplying the highest exponent prime factors to calculate the LCM of 67673 and 67681.

LCM(67673,67681) = 311 × 371 × 591 × 531 × 12771
LCM(67673,67681) = 4580176313