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What is the Least Common Multiple of 68469 and 68486?

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 68469 and 68486 is 4689167934.

LCM(68469,68486) = 4689167934

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Least Common Multiple of 68469 and 68486 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68469 and 68486, than apply into the LCM equation.

GCF(68469,68486) = 1
LCM(68469,68486) = ( 68469 × 68486) / 1
LCM(68469,68486) = 4689167934 / 1
LCM(68469,68486) = 4689167934

Least Common Multiple (LCM) of 68469 and 68486 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68469 and 68486. First we will calculate the prime factors of 68469 and 68486.

Prime Factorization of 68469

Prime factors of 68469 are 3, 29, 787. Prime factorization of 68469 in exponential form is:

68469 = 31 × 291 × 7871

Prime Factorization of 68486

Prime factors of 68486 are 2, 11, 283. Prime factorization of 68486 in exponential form is:

68486 = 21 × 112 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 68469 and 68486.

LCM(68469,68486) = 31 × 291 × 7871 × 21 × 112 × 2831
LCM(68469,68486) = 4689167934