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What is the Least Common Multiple of 67022 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 67022 and 67040 is 2246577440.

LCM(67022,67040) = 2246577440

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Least Common Multiple of 67022 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 67022 and 67040, than apply into the LCM equation.

GCF(67022,67040) = 2
LCM(67022,67040) = ( 67022 × 67040) / 2
LCM(67022,67040) = 4493154880 / 2
LCM(67022,67040) = 2246577440

Least Common Multiple (LCM) of 67022 and 67040 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67022 and 67040. First we will calculate the prime factors of 67022 and 67040.

Prime Factorization of 67022

Prime factors of 67022 are 2, 23, 31, 47. Prime factorization of 67022 in exponential form is:

67022 = 21 × 231 × 311 × 471

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 67022 and 67040.

LCM(67022,67040) = 25 × 231 × 311 × 471 × 51 × 4191
LCM(67022,67040) = 2246577440