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What is the Least Common Multiple of 56226 and 56241?

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 56226 and 56241 is 1054068822.

LCM(56226,56241) = 1054068822

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Least Common Multiple of 56226 and 56241 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56226 and 56241, than apply into the LCM equation.

GCF(56226,56241) = 3
LCM(56226,56241) = ( 56226 × 56241) / 3
LCM(56226,56241) = 3162206466 / 3
LCM(56226,56241) = 1054068822

Least Common Multiple (LCM) of 56226 and 56241 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56226 and 56241. First we will calculate the prime factors of 56226 and 56241.

Prime Factorization of 56226

Prime factors of 56226 are 2, 3, 9371. Prime factorization of 56226 in exponential form is:

56226 = 21 × 31 × 93711

Prime Factorization of 56241

Prime factors of 56241 are 3, 2083. Prime factorization of 56241 in exponential form is:

56241 = 33 × 20831

Now multiplying the highest exponent prime factors to calculate the LCM of 56226 and 56241.

LCM(56226,56241) = 21 × 33 × 93711 × 20831
LCM(56226,56241) = 1054068822