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What is the Least Common Multiple of 68381 and 68396?

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 68381 and 68396 is 4676986876.

LCM(68381,68396) = 4676986876

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Least Common Multiple of 68381 and 68396 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68381 and 68396, than apply into the LCM equation.

GCF(68381,68396) = 1
LCM(68381,68396) = ( 68381 × 68396) / 1
LCM(68381,68396) = 4676986876 / 1
LCM(68381,68396) = 4676986876

Least Common Multiple (LCM) of 68381 and 68396 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68381 and 68396. First we will calculate the prime factors of 68381 and 68396.

Prime Factorization of 68381

Prime factors of 68381 are 19, 59, 61. Prime factorization of 68381 in exponential form is:

68381 = 191 × 591 × 611

Prime Factorization of 68396

Prime factors of 68396 are 2, 17099. Prime factorization of 68396 in exponential form is:

68396 = 22 × 170991

Now multiplying the highest exponent prime factors to calculate the LCM of 68381 and 68396.

LCM(68381,68396) = 191 × 591 × 611 × 22 × 170991
LCM(68381,68396) = 4676986876