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What is the Least Common Multiple of 2480 and 2491?

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 2480 and 2491 is 6177680.

LCM(2480,2491) = 6177680

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Least Common Multiple of 2480 and 2491 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2480 and 2491, than apply into the LCM equation.

GCF(2480,2491) = 1
LCM(2480,2491) = ( 2480 × 2491) / 1
LCM(2480,2491) = 6177680 / 1
LCM(2480,2491) = 6177680

Least Common Multiple (LCM) of 2480 and 2491 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2480 and 2491. First we will calculate the prime factors of 2480 and 2491.

Prime Factorization of 2480

Prime factors of 2480 are 2, 5, 31. Prime factorization of 2480 in exponential form is:

2480 = 24 × 51 × 311

Prime Factorization of 2491

Prime factors of 2491 are 47, 53. Prime factorization of 2491 in exponential form is:

2491 = 471 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 2480 and 2491.

LCM(2480,2491) = 24 × 51 × 311 × 471 × 531
LCM(2480,2491) = 6177680