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What is the Least Common Multiple of 68863 and 68880?

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 68863 and 68880 is 4743283440.

LCM(68863,68880) = 4743283440

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Least Common Multiple of 68863 and 68880 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 68863 and 68880, than apply into the LCM equation.

GCF(68863,68880) = 1
LCM(68863,68880) = ( 68863 × 68880) / 1
LCM(68863,68880) = 4743283440 / 1
LCM(68863,68880) = 4743283440

Least Common Multiple (LCM) of 68863 and 68880 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 68863 and 68880. First we will calculate the prime factors of 68863 and 68880.

Prime Factorization of 68863

Prime factors of 68863 are 68863. Prime factorization of 68863 in exponential form is:

68863 = 688631

Prime Factorization of 68880

Prime factors of 68880 are 2, 3, 5, 7, 41. Prime factorization of 68880 in exponential form is:

68880 = 24 × 31 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 68863 and 68880.

LCM(68863,68880) = 688631 × 24 × 31 × 51 × 71 × 411
LCM(68863,68880) = 4743283440