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What is the Least Common Multiple of 88371 and 88377?

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 88371 and 88377 is 2603321289.

LCM(88371,88377) = 2603321289

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Least Common Multiple of 88371 and 88377 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88371 and 88377, than apply into the LCM equation.

GCF(88371,88377) = 3
LCM(88371,88377) = ( 88371 × 88377) / 3
LCM(88371,88377) = 7809963867 / 3
LCM(88371,88377) = 2603321289

Least Common Multiple (LCM) of 88371 and 88377 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88371 and 88377. First we will calculate the prime factors of 88371 and 88377.

Prime Factorization of 88371

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

88371 = 34 × 10911

Prime Factorization of 88377

Prime factors of 88377 are 3, 89, 331. Prime factorization of 88377 in exponential form is:

88377 = 31 × 891 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 88371 and 88377.

LCM(88371,88377) = 34 × 10911 × 891 × 3311
LCM(88371,88377) = 2603321289