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What is the Least Common Multiple of 68899 and 68908?

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 68899 and 68908 is 4747692292.

LCM(68899,68908) = 4747692292

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Least Common Multiple of 68899 and 68908 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68899 and 68908, than apply into the LCM equation.

GCF(68899,68908) = 1
LCM(68899,68908) = ( 68899 × 68908) / 1
LCM(68899,68908) = 4747692292 / 1
LCM(68899,68908) = 4747692292

Least Common Multiple (LCM) of 68899 and 68908 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68899 and 68908. First we will calculate the prime factors of 68899 and 68908.

Prime Factorization of 68899

Prime factors of 68899 are 68899. Prime factorization of 68899 in exponential form is:

68899 = 688991

Prime Factorization of 68908

Prime factors of 68908 are 2, 7, 23, 107. Prime factorization of 68908 in exponential form is:

68908 = 22 × 71 × 231 × 1071

Now multiplying the highest exponent prime factors to calculate the LCM of 68899 and 68908.

LCM(68899,68908) = 688991 × 22 × 71 × 231 × 1071
LCM(68899,68908) = 4747692292