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What is the Least Common Multiple of 68684 and 68689?

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 68689 is 4717835276.

LCM(68684,68689) = 4717835276

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Least Common Multiple of 68684 and 68689 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 68689, than apply into the LCM equation.

GCF(68684,68689) = 1
LCM(68684,68689) = ( 68684 × 68689) / 1
LCM(68684,68689) = 4717835276 / 1
LCM(68684,68689) = 4717835276

Least Common Multiple (LCM) of 68684 and 68689 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68684 and 68689. First we will calculate the prime factors of 68684 and 68689.

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 68689

Prime factors of 68689 are 149, 461. Prime factorization of 68689 in exponential form is:

68689 = 1491 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 68684 and 68689.

LCM(68684,68689) = 22 × 71 × 111 × 2231 × 1491 × 4611
LCM(68684,68689) = 4717835276