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What is the Least Common Multiple of 54256 and 54262?

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 54256 and 54262 is 1472019536.

LCM(54256,54262) = 1472019536

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Least Common Multiple of 54256 and 54262 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54256 and 54262, than apply into the LCM equation.

GCF(54256,54262) = 2
LCM(54256,54262) = ( 54256 × 54262) / 2
LCM(54256,54262) = 2944039072 / 2
LCM(54256,54262) = 1472019536

Least Common Multiple (LCM) of 54256 and 54262 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54256 and 54262. First we will calculate the prime factors of 54256 and 54262.

Prime Factorization of 54256

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

54256 = 24 × 33911

Prime Factorization of 54262

Prime factors of 54262 are 2, 13, 2087. Prime factorization of 54262 in exponential form is:

54262 = 21 × 131 × 20871

Now multiplying the highest exponent prime factors to calculate the LCM of 54256 and 54262.

LCM(54256,54262) = 24 × 33911 × 131 × 20871
LCM(54256,54262) = 1472019536