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What is the Least Common Multiple of 68006 and 68020?

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 68020 is 2312884060.

LCM(68006,68020) = 2312884060

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Least Common Multiple of 68006 and 68020 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 68020, than apply into the LCM equation.

GCF(68006,68020) = 2
LCM(68006,68020) = ( 68006 × 68020) / 2
LCM(68006,68020) = 4625768120 / 2
LCM(68006,68020) = 2312884060

Least Common Multiple (LCM) of 68006 and 68020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68006 and 68020. First we will calculate the prime factors of 68006 and 68020.

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 68020

Prime factors of 68020 are 2, 5, 19, 179. Prime factorization of 68020 in exponential form is:

68020 = 22 × 51 × 191 × 1791

Now multiplying the highest exponent prime factors to calculate the LCM of 68006 and 68020.

LCM(68006,68020) = 22 × 371 × 9191 × 51 × 191 × 1791
LCM(68006,68020) = 2312884060