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What is the Least Common Multiple of 68017 and 68021?

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 68017 and 68021 is 4626584357.

LCM(68017,68021) = 4626584357

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Least Common Multiple of 68017 and 68021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68017 and 68021, than apply into the LCM equation.

GCF(68017,68021) = 1
LCM(68017,68021) = ( 68017 × 68021) / 1
LCM(68017,68021) = 4626584357 / 1
LCM(68017,68021) = 4626584357

Least Common Multiple (LCM) of 68017 and 68021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68017 and 68021. First we will calculate the prime factors of 68017 and 68021.

Prime Factorization of 68017

Prime factors of 68017 are 17, 4001. Prime factorization of 68017 in exponential form is:

68017 = 171 × 40011

Prime Factorization of 68021

Prime factors of 68021 are 251, 271. Prime factorization of 68021 in exponential form is:

68021 = 2511 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 68017 and 68021.

LCM(68017,68021) = 171 × 40011 × 2511 × 2711
LCM(68017,68021) = 4626584357