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What is the Least Common Multiple of 4934 and 4950?

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 4934 and 4950 is 12211650.

LCM(4934,4950) = 12211650

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Least Common Multiple of 4934 and 4950 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4934 and 4950, than apply into the LCM equation.

GCF(4934,4950) = 2
LCM(4934,4950) = ( 4934 × 4950) / 2
LCM(4934,4950) = 24423300 / 2
LCM(4934,4950) = 12211650

Least Common Multiple (LCM) of 4934 and 4950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4934 and 4950. First we will calculate the prime factors of 4934 and 4950.

Prime Factorization of 4934

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

4934 = 21 × 24671

Prime Factorization of 4950

Prime factors of 4950 are 2, 3, 5, 11. Prime factorization of 4950 in exponential form is:

4950 = 21 × 32 × 52 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 4934 and 4950.

LCM(4934,4950) = 21 × 24671 × 32 × 52 × 111
LCM(4934,4950) = 12211650