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What is the Least Common Multiple of 54275 and 54281?

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 54275 and 54281 is 2946101275.

LCM(54275,54281) = 2946101275

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Least Common Multiple of 54275 and 54281 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54275 and 54281, than apply into the LCM equation.

GCF(54275,54281) = 1
LCM(54275,54281) = ( 54275 × 54281) / 1
LCM(54275,54281) = 2946101275 / 1
LCM(54275,54281) = 2946101275

Least Common Multiple (LCM) of 54275 and 54281 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54275 and 54281. First we will calculate the prime factors of 54275 and 54281.

Prime Factorization of 54275

Prime factors of 54275 are 5, 13, 167. Prime factorization of 54275 in exponential form is:

54275 = 52 × 131 × 1671

Prime Factorization of 54281

Prime factors of 54281 are 17, 31, 103. Prime factorization of 54281 in exponential form is:

54281 = 171 × 311 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 54275 and 54281.

LCM(54275,54281) = 52 × 131 × 1671 × 171 × 311 × 1031
LCM(54275,54281) = 2946101275