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What is the Least Common Multiple of 68409 and 68416?

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 68409 and 68416 is 4680270144.

LCM(68409,68416) = 4680270144

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Least Common Multiple of 68409 and 68416 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68409 and 68416, than apply into the LCM equation.

GCF(68409,68416) = 1
LCM(68409,68416) = ( 68409 × 68416) / 1
LCM(68409,68416) = 4680270144 / 1
LCM(68409,68416) = 4680270144

Least Common Multiple (LCM) of 68409 and 68416 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68409 and 68416. First we will calculate the prime factors of 68409 and 68416.

Prime Factorization of 68409

Prime factors of 68409 are 3, 11, 691. Prime factorization of 68409 in exponential form is:

68409 = 32 × 111 × 6911

Prime Factorization of 68416

Prime factors of 68416 are 2, 1069. Prime factorization of 68416 in exponential form is:

68416 = 26 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 68409 and 68416.

LCM(68409,68416) = 32 × 111 × 6911 × 26 × 10691
LCM(68409,68416) = 4680270144