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What is the Least Common Multiple of 42923 and 42943?

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 42923 and 42943 is 1843242389.

LCM(42923,42943) = 1843242389

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Least Common Multiple of 42923 and 42943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 42923 and 42943, than apply into the LCM equation.

GCF(42923,42943) = 1
LCM(42923,42943) = ( 42923 × 42943) / 1
LCM(42923,42943) = 1843242389 / 1
LCM(42923,42943) = 1843242389

Least Common Multiple (LCM) of 42923 and 42943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 42923 and 42943. First we will calculate the prime factors of 42923 and 42943.

Prime Factorization of 42923

Prime factors of 42923 are 42923. Prime factorization of 42923 in exponential form is:

42923 = 429231

Prime Factorization of 42943

Prime factors of 42943 are 42943. Prime factorization of 42943 in exponential form is:

42943 = 429431

Now multiplying the highest exponent prime factors to calculate the LCM of 42923 and 42943.

LCM(42923,42943) = 429231 × 429431
LCM(42923,42943) = 1843242389