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What is the Least Common Multiple of 88363 and 88371?

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 88363 and 88371 is 7808726673.

LCM(88363,88371) = 7808726673

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Least Common Multiple of 88363 and 88371 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88363 and 88371, than apply into the LCM equation.

GCF(88363,88371) = 1
LCM(88363,88371) = ( 88363 × 88371) / 1
LCM(88363,88371) = 7808726673 / 1
LCM(88363,88371) = 7808726673

Least Common Multiple (LCM) of 88363 and 88371 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88363 and 88371. First we will calculate the prime factors of 88363 and 88371.

Prime Factorization of 88363

Prime factors of 88363 are 11, 29, 277. Prime factorization of 88363 in exponential form is:

88363 = 111 × 291 × 2771

Prime Factorization of 88371

Prime factors of 88371 are 3, 1091. Prime factorization of 88371 in exponential form is:

88371 = 34 × 10911

Now multiplying the highest exponent prime factors to calculate the LCM of 88363 and 88371.

LCM(88363,88371) = 111 × 291 × 2771 × 34 × 10911
LCM(88363,88371) = 7808726673