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What is the Least Common Multiple of 95373 and 95383?

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 95373 and 95383 is 9096962859.

LCM(95373,95383) = 9096962859

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Least Common Multiple of 95373 and 95383 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95373 and 95383, than apply into the LCM equation.

GCF(95373,95383) = 1
LCM(95373,95383) = ( 95373 × 95383) / 1
LCM(95373,95383) = 9096962859 / 1
LCM(95373,95383) = 9096962859

Least Common Multiple (LCM) of 95373 and 95383 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95373 and 95383. First we will calculate the prime factors of 95373 and 95383.

Prime Factorization of 95373

Prime factors of 95373 are 3, 10597. Prime factorization of 95373 in exponential form is:

95373 = 32 × 105971

Prime Factorization of 95383

Prime factors of 95383 are 95383. Prime factorization of 95383 in exponential form is:

95383 = 953831

Now multiplying the highest exponent prime factors to calculate the LCM of 95373 and 95383.

LCM(95373,95383) = 32 × 105971 × 953831
LCM(95373,95383) = 9096962859