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What is the Least Common Multiple of 4929 and 4934?

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 4929 and 4934 is 24319686.

LCM(4929,4934) = 24319686

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Least Common Multiple of 4929 and 4934 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4929 and 4934, than apply into the LCM equation.

GCF(4929,4934) = 1
LCM(4929,4934) = ( 4929 × 4934) / 1
LCM(4929,4934) = 24319686 / 1
LCM(4929,4934) = 24319686

Least Common Multiple (LCM) of 4929 and 4934 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4929 and 4934. First we will calculate the prime factors of 4929 and 4934.

Prime Factorization of 4929

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

4929 = 31 × 311 × 531

Prime Factorization of 4934

Prime factors of 4934 are 2, 2467. Prime factorization of 4934 in exponential form is:

4934 = 21 × 24671

Now multiplying the highest exponent prime factors to calculate the LCM of 4929 and 4934.

LCM(4929,4934) = 31 × 311 × 531 × 21 × 24671
LCM(4929,4934) = 24319686