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What is the Least Common Multiple of 95043 and 95053?

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 95043 and 95053 is 9034122279.

LCM(95043,95053) = 9034122279

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Least Common Multiple of 95043 and 95053 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95043 and 95053, than apply into the LCM equation.

GCF(95043,95053) = 1
LCM(95043,95053) = ( 95043 × 95053) / 1
LCM(95043,95053) = 9034122279 / 1
LCM(95043,95053) = 9034122279

Least Common Multiple (LCM) of 95043 and 95053 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95043 and 95053. First we will calculate the prime factors of 95043 and 95053.

Prime Factorization of 95043

Prime factors of 95043 are 3, 13, 2437. Prime factorization of 95043 in exponential form is:

95043 = 31 × 131 × 24371

Prime Factorization of 95053

Prime factors of 95053 are 7, 37, 367. Prime factorization of 95053 in exponential form is:

95053 = 71 × 371 × 3671

Now multiplying the highest exponent prime factors to calculate the LCM of 95043 and 95053.

LCM(95043,95053) = 31 × 131 × 24371 × 71 × 371 × 3671
LCM(95043,95053) = 9034122279