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What is the Least Common Multiple of 95272 and 95284?

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 95272 and 95284 is 2269474312.

LCM(95272,95284) = 2269474312

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Least Common Multiple of 95272 and 95284 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95272 and 95284, than apply into the LCM equation.

GCF(95272,95284) = 4
LCM(95272,95284) = ( 95272 × 95284) / 4
LCM(95272,95284) = 9077897248 / 4
LCM(95272,95284) = 2269474312

Least Common Multiple (LCM) of 95272 and 95284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95272 and 95284. First we will calculate the prime factors of 95272 and 95284.

Prime Factorization of 95272

Prime factors of 95272 are 2, 11909. Prime factorization of 95272 in exponential form is:

95272 = 23 × 119091

Prime Factorization of 95284

Prime factors of 95284 are 2, 7, 41, 83. Prime factorization of 95284 in exponential form is:

95284 = 22 × 71 × 411 × 831

Now multiplying the highest exponent prime factors to calculate the LCM of 95272 and 95284.

LCM(95272,95284) = 23 × 119091 × 71 × 411 × 831
LCM(95272,95284) = 2269474312