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What is the Least Common Multiple of 68006 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 68006 and 68021 is 4625836126.

LCM(68006,68021) = 4625836126

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Least Common Multiple of 68006 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 68006 and 68021, than apply into the LCM equation.

GCF(68006,68021) = 1
LCM(68006,68021) = ( 68006 × 68021) / 1
LCM(68006,68021) = 4625836126 / 1
LCM(68006,68021) = 4625836126

Least Common Multiple (LCM) of 68006 and 68021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68006 and 68021. First we will calculate the prime factors of 68006 and 68021.

Prime Factorization of 68006

Prime factors of 68006 are 2, 37, 919. Prime factorization of 68006 in exponential form is:

68006 = 21 × 371 × 9191

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 68006 and 68021.

LCM(68006,68021) = 21 × 371 × 9191 × 2511 × 2711
LCM(68006,68021) = 4625836126