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What is the Least Common Multiple of 56923 and 56943?

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 56923 and 56943 is 3241366389.

LCM(56923,56943) = 3241366389

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Least Common Multiple of 56923 and 56943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56923 and 56943, than apply into the LCM equation.

GCF(56923,56943) = 1
LCM(56923,56943) = ( 56923 × 56943) / 1
LCM(56923,56943) = 3241366389 / 1
LCM(56923,56943) = 3241366389

Least Common Multiple (LCM) of 56923 and 56943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56923 and 56943. First we will calculate the prime factors of 56923 and 56943.

Prime Factorization of 56923

Prime factors of 56923 are 56923. Prime factorization of 56923 in exponential form is:

56923 = 569231

Prime Factorization of 56943

Prime factors of 56943 are 3, 19, 37. Prime factorization of 56943 in exponential form is:

56943 = 34 × 191 × 371

Now multiplying the highest exponent prime factors to calculate the LCM of 56923 and 56943.

LCM(56923,56943) = 569231 × 34 × 191 × 371
LCM(56923,56943) = 3241366389