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What is the Least Common Multiple of 4943 and 4960?

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 4943 and 4960 is 24517280.

LCM(4943,4960) = 24517280

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Least Common Multiple of 4943 and 4960 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4943 and 4960, than apply into the LCM equation.

GCF(4943,4960) = 1
LCM(4943,4960) = ( 4943 × 4960) / 1
LCM(4943,4960) = 24517280 / 1
LCM(4943,4960) = 24517280

Least Common Multiple (LCM) of 4943 and 4960 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4943 and 4960. First we will calculate the prime factors of 4943 and 4960.

Prime Factorization of 4943

Prime factors of 4943 are 4943. Prime factorization of 4943 in exponential form is:

4943 = 49431

Prime Factorization of 4960

Prime factors of 4960 are 2, 5, 31. Prime factorization of 4960 in exponential form is:

4960 = 25 × 51 × 311

Now multiplying the highest exponent prime factors to calculate the LCM of 4943 and 4960.

LCM(4943,4960) = 49431 × 25 × 51 × 311
LCM(4943,4960) = 24517280