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What is the Least Common Multiple of 95274 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 95274 and 95284 is 4539043908.

LCM(95274,95284) = 4539043908

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Least Common Multiple of 95274 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 95274 and 95284, than apply into the LCM equation.

GCF(95274,95284) = 2
LCM(95274,95284) = ( 95274 × 95284) / 2
LCM(95274,95284) = 9078087816 / 2
LCM(95274,95284) = 4539043908

Least Common Multiple (LCM) of 95274 and 95284 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95274 and 95284. First we will calculate the prime factors of 95274 and 95284.

Prime Factorization of 95274

Prime factors of 95274 are 2, 3, 67, 79. Prime factorization of 95274 in exponential form is:

95274 = 21 × 32 × 671 × 791

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 95274 and 95284.

LCM(95274,95284) = 22 × 32 × 671 × 791 × 71 × 411 × 831
LCM(95274,95284) = 4539043908