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What is the Least Common Multiple of 67027 and 67040?

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 67027 and 67040 is 4493490080.

LCM(67027,67040) = 4493490080

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Least Common Multiple of 67027 and 67040 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67027 and 67040, than apply into the LCM equation.

GCF(67027,67040) = 1
LCM(67027,67040) = ( 67027 × 67040) / 1
LCM(67027,67040) = 4493490080 / 1
LCM(67027,67040) = 4493490080

Least Common Multiple (LCM) of 67027 and 67040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67027 and 67040. First we will calculate the prime factors of 67027 and 67040.

Prime Factorization of 67027

Prime factors of 67027 are 97, 691. Prime factorization of 67027 in exponential form is:

67027 = 971 × 6911

Prime Factorization of 67040

Prime factors of 67040 are 2, 5, 419. Prime factorization of 67040 in exponential form is:

67040 = 25 × 51 × 4191

Now multiplying the highest exponent prime factors to calculate the LCM of 67027 and 67040.

LCM(67027,67040) = 971 × 6911 × 25 × 51 × 4191
LCM(67027,67040) = 4493490080