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What is the Least Common Multiple of 68684 and 68691?

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 68684 and 68691 is 673996092.

LCM(68684,68691) = 673996092

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Least Common Multiple of 68684 and 68691 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68684 and 68691, than apply into the LCM equation.

GCF(68684,68691) = 7
LCM(68684,68691) = ( 68684 × 68691) / 7
LCM(68684,68691) = 4717972644 / 7
LCM(68684,68691) = 673996092

Least Common Multiple (LCM) of 68684 and 68691 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68684 and 68691. First we will calculate the prime factors of 68684 and 68691.

Prime Factorization of 68684

Prime factors of 68684 are 2, 7, 11, 223. Prime factorization of 68684 in exponential form is:

68684 = 22 × 71 × 111 × 2231

Prime Factorization of 68691

Prime factors of 68691 are 3, 7, 3271. Prime factorization of 68691 in exponential form is:

68691 = 31 × 71 × 32711

Now multiplying the highest exponent prime factors to calculate the LCM of 68684 and 68691.

LCM(68684,68691) = 22 × 71 × 111 × 2231 × 31 × 32711
LCM(68684,68691) = 673996092