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What is the Least Common Multiple of 95128 and 95146?

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 95128 and 95146 is 4525524344.

LCM(95128,95146) = 4525524344

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Least Common Multiple of 95128 and 95146 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95128 and 95146, than apply into the LCM equation.

GCF(95128,95146) = 2
LCM(95128,95146) = ( 95128 × 95146) / 2
LCM(95128,95146) = 9051048688 / 2
LCM(95128,95146) = 4525524344

Least Common Multiple (LCM) of 95128 and 95146 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95128 and 95146. First we will calculate the prime factors of 95128 and 95146.

Prime Factorization of 95128

Prime factors of 95128 are 2, 11, 23, 47. Prime factorization of 95128 in exponential form is:

95128 = 23 × 111 × 231 × 471

Prime Factorization of 95146

Prime factors of 95146 are 2, 113, 421. Prime factorization of 95146 in exponential form is:

95146 = 21 × 1131 × 4211

Now multiplying the highest exponent prime factors to calculate the LCM of 95128 and 95146.

LCM(95128,95146) = 23 × 111 × 231 × 471 × 1131 × 4211
LCM(95128,95146) = 4525524344