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What is the Least Common Multiple of 2490 and 2494?

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 2490 and 2494 is 3105030.

LCM(2490,2494) = 3105030

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Least Common Multiple of 2490 and 2494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2490 and 2494, than apply into the LCM equation.

GCF(2490,2494) = 2
LCM(2490,2494) = ( 2490 × 2494) / 2
LCM(2490,2494) = 6210060 / 2
LCM(2490,2494) = 3105030

Least Common Multiple (LCM) of 2490 and 2494 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2490 and 2494. First we will calculate the prime factors of 2490 and 2494.

Prime Factorization of 2490

Prime factors of 2490 are 2, 3, 5, 83. Prime factorization of 2490 in exponential form is:

2490 = 21 × 31 × 51 × 831

Prime Factorization of 2494

Prime factors of 2494 are 2, 29, 43. Prime factorization of 2494 in exponential form is:

2494 = 21 × 291 × 431

Now multiplying the highest exponent prime factors to calculate the LCM of 2490 and 2494.

LCM(2490,2494) = 21 × 31 × 51 × 831 × 291 × 431
LCM(2490,2494) = 3105030