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What is the Least Common Multiple of 67009 and 67020?

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 67009 and 67020 is 4490943180.

LCM(67009,67020) = 4490943180

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Least Common Multiple of 67009 and 67020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67009 and 67020, than apply into the LCM equation.

GCF(67009,67020) = 1
LCM(67009,67020) = ( 67009 × 67020) / 1
LCM(67009,67020) = 4490943180 / 1
LCM(67009,67020) = 4490943180

Least Common Multiple (LCM) of 67009 and 67020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67009 and 67020. First we will calculate the prime factors of 67009 and 67020.

Prime Factorization of 67009

Prime factors of 67009 are 113, 593. Prime factorization of 67009 in exponential form is:

67009 = 1131 × 5931

Prime Factorization of 67020

Prime factors of 67020 are 2, 3, 5, 1117. Prime factorization of 67020 in exponential form is:

67020 = 22 × 31 × 51 × 11171

Now multiplying the highest exponent prime factors to calculate the LCM of 67009 and 67020.

LCM(67009,67020) = 1131 × 5931 × 22 × 31 × 51 × 11171
LCM(67009,67020) = 4490943180