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What is the Least Common Multiple of 67005 and 67016?

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 67005 and 67016 is 4490407080.

LCM(67005,67016) = 4490407080

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Least Common Multiple of 67005 and 67016 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 67005 and 67016, than apply into the LCM equation.

GCF(67005,67016) = 1
LCM(67005,67016) = ( 67005 × 67016) / 1
LCM(67005,67016) = 4490407080 / 1
LCM(67005,67016) = 4490407080

Least Common Multiple (LCM) of 67005 and 67016 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 67005 and 67016. First we will calculate the prime factors of 67005 and 67016.

Prime Factorization of 67005

Prime factors of 67005 are 3, 5, 1489. Prime factorization of 67005 in exponential form is:

67005 = 32 × 51 × 14891

Prime Factorization of 67016

Prime factors of 67016 are 2, 8377. Prime factorization of 67016 in exponential form is:

67016 = 23 × 83771

Now multiplying the highest exponent prime factors to calculate the LCM of 67005 and 67016.

LCM(67005,67016) = 32 × 51 × 14891 × 23 × 83771
LCM(67005,67016) = 4490407080