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What is the Least Common Multiple of 4940 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 4940 and 4950 is 2445300.

LCM(4940,4950) = 2445300

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Least Common Multiple of 4940 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 4940 and 4950, than apply into the LCM equation.

GCF(4940,4950) = 10
LCM(4940,4950) = ( 4940 × 4950) / 10
LCM(4940,4950) = 24453000 / 10
LCM(4940,4950) = 2445300

Least Common Multiple (LCM) of 4940 and 4950 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4940 and 4950. First we will calculate the prime factors of 4940 and 4950.

Prime Factorization of 4940

Prime factors of 4940 are 2, 5, 13, 19. Prime factorization of 4940 in exponential form is:

4940 = 22 × 51 × 131 × 191

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 4940 and 4950.

LCM(4940,4950) = 22 × 52 × 131 × 191 × 32 × 111
LCM(4940,4950) = 2445300