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What is the Least Common Multiple of 95265 and 95281?

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 95265 and 95281 is 9076944465.

LCM(95265,95281) = 9076944465

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Least Common Multiple of 95265 and 95281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95265 and 95281, than apply into the LCM equation.

GCF(95265,95281) = 1
LCM(95265,95281) = ( 95265 × 95281) / 1
LCM(95265,95281) = 9076944465 / 1
LCM(95265,95281) = 9076944465

Least Common Multiple (LCM) of 95265 and 95281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95265 and 95281. First we will calculate the prime factors of 95265 and 95281.

Prime Factorization of 95265

Prime factors of 95265 are 3, 5, 29, 73. Prime factorization of 95265 in exponential form is:

95265 = 32 × 51 × 291 × 731

Prime Factorization of 95281

Prime factors of 95281 are 151, 631. Prime factorization of 95281 in exponential form is:

95281 = 1511 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 95265 and 95281.

LCM(95265,95281) = 32 × 51 × 291 × 731 × 1511 × 6311
LCM(95265,95281) = 9076944465