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What is the Least Common Multiple of 95437 and 95454?

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 95437 and 95454 is 9109843398.

LCM(95437,95454) = 9109843398

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Least Common Multiple of 95437 and 95454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95437 and 95454, than apply into the LCM equation.

GCF(95437,95454) = 1
LCM(95437,95454) = ( 95437 × 95454) / 1
LCM(95437,95454) = 9109843398 / 1
LCM(95437,95454) = 9109843398

Least Common Multiple (LCM) of 95437 and 95454 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95437 and 95454. First we will calculate the prime factors of 95437 and 95454.

Prime Factorization of 95437

Prime factors of 95437 are 19, 5023. Prime factorization of 95437 in exponential form is:

95437 = 191 × 50231

Prime Factorization of 95454

Prime factors of 95454 are 2, 3, 5303. Prime factorization of 95454 in exponential form is:

95454 = 21 × 32 × 53031

Now multiplying the highest exponent prime factors to calculate the LCM of 95437 and 95454.

LCM(95437,95454) = 191 × 50231 × 21 × 32 × 53031
LCM(95437,95454) = 9109843398