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What is the Least Common Multiple of 68894 and 68911?

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 68894 and 68911 is 4747554434.

LCM(68894,68911) = 4747554434

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Least Common Multiple of 68894 and 68911 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68894 and 68911, than apply into the LCM equation.

GCF(68894,68911) = 1
LCM(68894,68911) = ( 68894 × 68911) / 1
LCM(68894,68911) = 4747554434 / 1
LCM(68894,68911) = 4747554434

Least Common Multiple (LCM) of 68894 and 68911 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68894 and 68911. First we will calculate the prime factors of 68894 and 68911.

Prime Factorization of 68894

Prime factors of 68894 are 2, 7, 19, 37. Prime factorization of 68894 in exponential form is:

68894 = 21 × 72 × 191 × 371

Prime Factorization of 68911

Prime factors of 68911 are 137, 503. Prime factorization of 68911 in exponential form is:

68911 = 1371 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 68894 and 68911.

LCM(68894,68911) = 21 × 72 × 191 × 371 × 1371 × 5031
LCM(68894,68911) = 4747554434