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What is the Least Common Multiple of 95655 and 95659?

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 95655 and 95659 is 9150261645.

LCM(95655,95659) = 9150261645

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Least Common Multiple of 95655 and 95659 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95655 and 95659, than apply into the LCM equation.

GCF(95655,95659) = 1
LCM(95655,95659) = ( 95655 × 95659) / 1
LCM(95655,95659) = 9150261645 / 1
LCM(95655,95659) = 9150261645

Least Common Multiple (LCM) of 95655 and 95659 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95655 and 95659. First we will calculate the prime factors of 95655 and 95659.

Prime Factorization of 95655

Prime factors of 95655 are 3, 5, 7, 911. Prime factorization of 95655 in exponential form is:

95655 = 31 × 51 × 71 × 9111

Prime Factorization of 95659

Prime factors of 95659 are 17, 331. Prime factorization of 95659 in exponential form is:

95659 = 172 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 95655 and 95659.

LCM(95655,95659) = 31 × 51 × 71 × 9111 × 172 × 3311
LCM(95655,95659) = 9150261645