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What is the Least Common Multiple of 95434 and 95444?

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 95434 and 95444 is 4554301348.

LCM(95434,95444) = 4554301348

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Least Common Multiple of 95434 and 95444 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95434 and 95444, than apply into the LCM equation.

GCF(95434,95444) = 2
LCM(95434,95444) = ( 95434 × 95444) / 2
LCM(95434,95444) = 9108602696 / 2
LCM(95434,95444) = 4554301348

Least Common Multiple (LCM) of 95434 and 95444 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95434 and 95444. First we will calculate the prime factors of 95434 and 95444.

Prime Factorization of 95434

Prime factors of 95434 are 2, 47717. Prime factorization of 95434 in exponential form is:

95434 = 21 × 477171

Prime Factorization of 95444

Prime factors of 95444 are 2, 107, 223. Prime factorization of 95444 in exponential form is:

95444 = 22 × 1071 × 2231

Now multiplying the highest exponent prime factors to calculate the LCM of 95434 and 95444.

LCM(95434,95444) = 22 × 477171 × 1071 × 2231
LCM(95434,95444) = 4554301348