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What is the Least Common Multiple of 4923 and 4929?

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 4923 and 4929 is 8088489.

LCM(4923,4929) = 8088489

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Least Common Multiple of 4923 and 4929 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4923 and 4929, than apply into the LCM equation.

GCF(4923,4929) = 3
LCM(4923,4929) = ( 4923 × 4929) / 3
LCM(4923,4929) = 24265467 / 3
LCM(4923,4929) = 8088489

Least Common Multiple (LCM) of 4923 and 4929 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4923 and 4929. First we will calculate the prime factors of 4923 and 4929.

Prime Factorization of 4923

Prime factors of 4923 are 3, 547. Prime factorization of 4923 in exponential form is:

4923 = 32 × 5471

Prime Factorization of 4929

Prime factors of 4929 are 3, 31, 53. Prime factorization of 4929 in exponential form is:

4929 = 31 × 311 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 4923 and 4929.

LCM(4923,4929) = 32 × 5471 × 311 × 531
LCM(4923,4929) = 8088489