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What is the Least Common Multiple of 95427 and 95443?

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 95427 and 95443 is 9107839161.

LCM(95427,95443) = 9107839161

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Least Common Multiple of 95427 and 95443 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95427 and 95443, than apply into the LCM equation.

GCF(95427,95443) = 1
LCM(95427,95443) = ( 95427 × 95443) / 1
LCM(95427,95443) = 9107839161 / 1
LCM(95427,95443) = 9107839161

Least Common Multiple (LCM) of 95427 and 95443 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95427 and 95443. First we will calculate the prime factors of 95427 and 95443.

Prime Factorization of 95427

Prime factors of 95427 are 3, 23, 461. Prime factorization of 95427 in exponential form is:

95427 = 32 × 231 × 4611

Prime Factorization of 95443

Prime factors of 95443 are 95443. Prime factorization of 95443 in exponential form is:

95443 = 954431

Now multiplying the highest exponent prime factors to calculate the LCM of 95427 and 95443.

LCM(95427,95443) = 32 × 231 × 4611 × 954431
LCM(95427,95443) = 9107839161