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What is the Least Common Multiple of 2530 and 2549?

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 2530 and 2549 is 6448970.

LCM(2530,2549) = 6448970

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Least Common Multiple of 2530 and 2549 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2530 and 2549, than apply into the LCM equation.

GCF(2530,2549) = 1
LCM(2530,2549) = ( 2530 × 2549) / 1
LCM(2530,2549) = 6448970 / 1
LCM(2530,2549) = 6448970

Least Common Multiple (LCM) of 2530 and 2549 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2530 and 2549. First we will calculate the prime factors of 2530 and 2549.

Prime Factorization of 2530

Prime factors of 2530 are 2, 5, 11, 23. Prime factorization of 2530 in exponential form is:

2530 = 21 × 51 × 111 × 231

Prime Factorization of 2549

Prime factors of 2549 are 2549. Prime factorization of 2549 in exponential form is:

2549 = 25491

Now multiplying the highest exponent prime factors to calculate the LCM of 2530 and 2549.

LCM(2530,2549) = 21 × 51 × 111 × 231 × 25491
LCM(2530,2549) = 6448970