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What is the Least Common Multiple of 67001 and 67019?

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 67001 and 67019 is 4490340019.

LCM(67001,67019) = 4490340019

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Least Common Multiple of 67001 and 67019 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67001 and 67019, than apply into the LCM equation.

GCF(67001,67019) = 1
LCM(67001,67019) = ( 67001 × 67019) / 1
LCM(67001,67019) = 4490340019 / 1
LCM(67001,67019) = 4490340019

Least Common Multiple (LCM) of 67001 and 67019 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67001 and 67019. First we will calculate the prime factors of 67001 and 67019.

Prime Factorization of 67001

Prime factors of 67001 are 11, 6091. Prime factorization of 67001 in exponential form is:

67001 = 111 × 60911

Prime Factorization of 67019

Prime factors of 67019 are 29, 2311. Prime factorization of 67019 in exponential form is:

67019 = 291 × 23111

Now multiplying the highest exponent prime factors to calculate the LCM of 67001 and 67019.

LCM(67001,67019) = 111 × 60911 × 291 × 23111
LCM(67001,67019) = 4490340019