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What is the Least Common Multiple of 94997 and 95015?

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 94997 and 95015 is 9026139955.

LCM(94997,95015) = 9026139955

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Least Common Multiple of 94997 and 95015 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 94997 and 95015, than apply into the LCM equation.

GCF(94997,95015) = 1
LCM(94997,95015) = ( 94997 × 95015) / 1
LCM(94997,95015) = 9026139955 / 1
LCM(94997,95015) = 9026139955

Least Common Multiple (LCM) of 94997 and 95015 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 94997 and 95015. First we will calculate the prime factors of 94997 and 95015.

Prime Factorization of 94997

Prime factors of 94997 are 7, 41, 331. Prime factorization of 94997 in exponential form is:

94997 = 71 × 411 × 3311

Prime Factorization of 95015

Prime factors of 95015 are 5, 31, 613. Prime factorization of 95015 in exponential form is:

95015 = 51 × 311 × 6131

Now multiplying the highest exponent prime factors to calculate the LCM of 94997 and 95015.

LCM(94997,95015) = 71 × 411 × 3311 × 51 × 311 × 6131
LCM(94997,95015) = 9026139955