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What is the Least Common Multiple of 95084 and 95097?

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 95084 and 95097 is 9042203148.

LCM(95084,95097) = 9042203148

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Least Common Multiple of 95084 and 95097 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95084 and 95097, than apply into the LCM equation.

GCF(95084,95097) = 1
LCM(95084,95097) = ( 95084 × 95097) / 1
LCM(95084,95097) = 9042203148 / 1
LCM(95084,95097) = 9042203148

Least Common Multiple (LCM) of 95084 and 95097 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95084 and 95097. First we will calculate the prime factors of 95084 and 95097.

Prime Factorization of 95084

Prime factors of 95084 are 2, 11, 2161. Prime factorization of 95084 in exponential form is:

95084 = 22 × 111 × 21611

Prime Factorization of 95097

Prime factors of 95097 are 3, 31699. Prime factorization of 95097 in exponential form is:

95097 = 31 × 316991

Now multiplying the highest exponent prime factors to calculate the LCM of 95084 and 95097.

LCM(95084,95097) = 22 × 111 × 21611 × 31 × 316991
LCM(95084,95097) = 9042203148