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What is the Least Common Multiple of 54241 and 54256?

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 54241 and 54256 is 2942899696.

LCM(54241,54256) = 2942899696

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Least Common Multiple of 54241 and 54256 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54241 and 54256, than apply into the LCM equation.

GCF(54241,54256) = 1
LCM(54241,54256) = ( 54241 × 54256) / 1
LCM(54241,54256) = 2942899696 / 1
LCM(54241,54256) = 2942899696

Least Common Multiple (LCM) of 54241 and 54256 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54241 and 54256. First we will calculate the prime factors of 54241 and 54256.

Prime Factorization of 54241

Prime factors of 54241 are 11, 4931. Prime factorization of 54241 in exponential form is:

54241 = 111 × 49311

Prime Factorization of 54256

Prime factors of 54256 are 2, 3391. Prime factorization of 54256 in exponential form is:

54256 = 24 × 33911

Now multiplying the highest exponent prime factors to calculate the LCM of 54241 and 54256.

LCM(54241,54256) = 111 × 49311 × 24 × 33911
LCM(54241,54256) = 2942899696