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What is the Least Common Multiple of 95023 and 95043?

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 95023 and 95043 is 9031270989.

LCM(95023,95043) = 9031270989

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Least Common Multiple of 95023 and 95043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95023 and 95043, than apply into the LCM equation.

GCF(95023,95043) = 1
LCM(95023,95043) = ( 95023 × 95043) / 1
LCM(95023,95043) = 9031270989 / 1
LCM(95023,95043) = 9031270989

Least Common Multiple (LCM) of 95023 and 95043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95023 and 95043. First we will calculate the prime factors of 95023 and 95043.

Prime Factorization of 95023

Prime factors of 95023 are 167, 569. Prime factorization of 95023 in exponential form is:

95023 = 1671 × 5691

Prime Factorization of 95043

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

95043 = 31 × 131 × 24371

Now multiplying the highest exponent prime factors to calculate the LCM of 95023 and 95043.

LCM(95023,95043) = 1671 × 5691 × 31 × 131 × 24371
LCM(95023,95043) = 9031270989