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What is the Least Common Multiple of 42263 and 42273?

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 42263 and 42273 is 1786583799.

LCM(42263,42273) = 1786583799

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Least Common Multiple of 42263 and 42273 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42263 and 42273, than apply into the LCM equation.

GCF(42263,42273) = 1
LCM(42263,42273) = ( 42263 × 42273) / 1
LCM(42263,42273) = 1786583799 / 1
LCM(42263,42273) = 1786583799

Least Common Multiple (LCM) of 42263 and 42273 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42263 and 42273. First we will calculate the prime factors of 42263 and 42273.

Prime Factorization of 42263

Prime factors of 42263 are 13, 3251. Prime factorization of 42263 in exponential form is:

42263 = 131 × 32511

Prime Factorization of 42273

Prime factors of 42273 are 3, 7, 11, 61. Prime factorization of 42273 in exponential form is:

42273 = 32 × 71 × 111 × 611

Now multiplying the highest exponent prime factors to calculate the LCM of 42263 and 42273.

LCM(42263,42273) = 131 × 32511 × 32 × 71 × 111 × 611
LCM(42263,42273) = 1786583799