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What is the Least Common Multiple of 95566 and 95575?

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 95566 and 95575 is 9133720450.

LCM(95566,95575) = 9133720450

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Least Common Multiple of 95566 and 95575 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95566 and 95575, than apply into the LCM equation.

GCF(95566,95575) = 1
LCM(95566,95575) = ( 95566 × 95575) / 1
LCM(95566,95575) = 9133720450 / 1
LCM(95566,95575) = 9133720450

Least Common Multiple (LCM) of 95566 and 95575 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95566 and 95575. First we will calculate the prime factors of 95566 and 95575.

Prime Factorization of 95566

Prime factors of 95566 are 2, 71, 673. Prime factorization of 95566 in exponential form is:

95566 = 21 × 711 × 6731

Prime Factorization of 95575

Prime factors of 95575 are 5, 3823. Prime factorization of 95575 in exponential form is:

95575 = 52 × 38231

Now multiplying the highest exponent prime factors to calculate the LCM of 95566 and 95575.

LCM(95566,95575) = 21 × 711 × 6731 × 52 × 38231
LCM(95566,95575) = 9133720450