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What is the Least Common Multiple of 95513 and 95533?

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 95513 and 95533 is 9124643429.

LCM(95513,95533) = 9124643429

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Least Common Multiple of 95513 and 95533 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95513 and 95533, than apply into the LCM equation.

GCF(95513,95533) = 1
LCM(95513,95533) = ( 95513 × 95533) / 1
LCM(95513,95533) = 9124643429 / 1
LCM(95513,95533) = 9124643429

Least Common Multiple (LCM) of 95513 and 95533 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95513 and 95533. First we will calculate the prime factors of 95513 and 95533.

Prime Factorization of 95513

Prime factors of 95513 are 11, 19, 457. Prime factorization of 95513 in exponential form is:

95513 = 111 × 191 × 4571

Prime Factorization of 95533

Prime factors of 95533 are 83, 1151. Prime factorization of 95533 in exponential form is:

95533 = 831 × 11511

Now multiplying the highest exponent prime factors to calculate the LCM of 95513 and 95533.

LCM(95513,95533) = 111 × 191 × 4571 × 831 × 11511
LCM(95513,95533) = 9124643429