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What is the Least Common Multiple of 56223 and 56235?

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 56223 and 56235 is 1053900135.

LCM(56223,56235) = 1053900135

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Least Common Multiple of 56223 and 56235 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56223 and 56235, than apply into the LCM equation.

GCF(56223,56235) = 3
LCM(56223,56235) = ( 56223 × 56235) / 3
LCM(56223,56235) = 3161700405 / 3
LCM(56223,56235) = 1053900135

Least Common Multiple (LCM) of 56223 and 56235 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56223 and 56235. First we will calculate the prime factors of 56223 and 56235.

Prime Factorization of 56223

Prime factors of 56223 are 3, 6247. Prime factorization of 56223 in exponential form is:

56223 = 32 × 62471

Prime Factorization of 56235

Prime factors of 56235 are 3, 5, 23, 163. Prime factorization of 56235 in exponential form is:

56235 = 31 × 51 × 231 × 1631

Now multiplying the highest exponent prime factors to calculate the LCM of 56223 and 56235.

LCM(56223,56235) = 32 × 62471 × 51 × 231 × 1631
LCM(56223,56235) = 1053900135