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What is the Least Common Multiple of 54235 and 54244?

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 54235 and 54244 is 2941923340.

LCM(54235,54244) = 2941923340

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Least Common Multiple of 54235 and 54244 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 54235 and 54244, than apply into the LCM equation.

GCF(54235,54244) = 1
LCM(54235,54244) = ( 54235 × 54244) / 1
LCM(54235,54244) = 2941923340 / 1
LCM(54235,54244) = 2941923340

Least Common Multiple (LCM) of 54235 and 54244 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 54235 and 54244. First we will calculate the prime factors of 54235 and 54244.

Prime Factorization of 54235

Prime factors of 54235 are 5, 10847. Prime factorization of 54235 in exponential form is:

54235 = 51 × 108471

Prime Factorization of 54244

Prime factors of 54244 are 2, 71, 191. Prime factorization of 54244 in exponential form is:

54244 = 22 × 711 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 54235 and 54244.

LCM(54235,54244) = 51 × 108471 × 22 × 711 × 1911
LCM(54235,54244) = 2941923340