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What is the Least Common Multiple of 95241 and 95254?

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 95241 and 95254 is 9072086214.

LCM(95241,95254) = 9072086214

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Least Common Multiple of 95241 and 95254 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95241 and 95254, than apply into the LCM equation.

GCF(95241,95254) = 1
LCM(95241,95254) = ( 95241 × 95254) / 1
LCM(95241,95254) = 9072086214 / 1
LCM(95241,95254) = 9072086214

Least Common Multiple (LCM) of 95241 and 95254 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 95241 and 95254. First we will calculate the prime factors of 95241 and 95254.

Prime Factorization of 95241

Prime factors of 95241 are 3, 53, 599. Prime factorization of 95241 in exponential form is:

95241 = 31 × 531 × 5991

Prime Factorization of 95254

Prime factors of 95254 are 2, 97, 491. Prime factorization of 95254 in exponential form is:

95254 = 21 × 971 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 95241 and 95254.

LCM(95241,95254) = 31 × 531 × 5991 × 21 × 971 × 4911
LCM(95241,95254) = 9072086214