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What is the Least Common Multiple of 68389 and 68398?

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 68389 and 68398 is 4677670822.

LCM(68389,68398) = 4677670822

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Least Common Multiple of 68389 and 68398 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68389 and 68398, than apply into the LCM equation.

GCF(68389,68398) = 1
LCM(68389,68398) = ( 68389 × 68398) / 1
LCM(68389,68398) = 4677670822 / 1
LCM(68389,68398) = 4677670822

Least Common Multiple (LCM) of 68389 and 68398 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68389 and 68398. First we will calculate the prime factors of 68389 and 68398.

Prime Factorization of 68389

Prime factors of 68389 are 68389. Prime factorization of 68389 in exponential form is:

68389 = 683891

Prime Factorization of 68398

Prime factors of 68398 are 2, 11, 3109. Prime factorization of 68398 in exponential form is:

68398 = 21 × 111 × 31091

Now multiplying the highest exponent prime factors to calculate the LCM of 68389 and 68398.

LCM(68389,68398) = 683891 × 21 × 111 × 31091
LCM(68389,68398) = 4677670822