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What is the Least Common Multiple of 95515 and 95529?

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 95515 and 95529 is 1303493205.

LCM(95515,95529) = 1303493205

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Least Common Multiple of 95515 and 95529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95515 and 95529, than apply into the LCM equation.

GCF(95515,95529) = 7
LCM(95515,95529) = ( 95515 × 95529) / 7
LCM(95515,95529) = 9124452435 / 7
LCM(95515,95529) = 1303493205

Least Common Multiple (LCM) of 95515 and 95529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95515 and 95529. First we will calculate the prime factors of 95515 and 95529.

Prime Factorization of 95515

Prime factors of 95515 are 5, 7, 2729. Prime factorization of 95515 in exponential form is:

95515 = 51 × 71 × 27291

Prime Factorization of 95529

Prime factors of 95529 are 3, 7, 4549. Prime factorization of 95529 in exponential form is:

95529 = 31 × 71 × 45491

Now multiplying the highest exponent prime factors to calculate the LCM of 95515 and 95529.

LCM(95515,95529) = 51 × 71 × 27291 × 31 × 45491
LCM(95515,95529) = 1303493205