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What is the Least Common Multiple of 2570 and 2583?

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 2570 and 2583 is 6638310.

LCM(2570,2583) = 6638310

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Least Common Multiple of 2570 and 2583 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2570 and 2583, than apply into the LCM equation.

GCF(2570,2583) = 1
LCM(2570,2583) = ( 2570 × 2583) / 1
LCM(2570,2583) = 6638310 / 1
LCM(2570,2583) = 6638310

Least Common Multiple (LCM) of 2570 and 2583 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2570 and 2583. First we will calculate the prime factors of 2570 and 2583.

Prime Factorization of 2570

Prime factors of 2570 are 2, 5, 257. Prime factorization of 2570 in exponential form is:

2570 = 21 × 51 × 2571

Prime Factorization of 2583

Prime factors of 2583 are 3, 7, 41. Prime factorization of 2583 in exponential form is:

2583 = 32 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2570 and 2583.

LCM(2570,2583) = 21 × 51 × 2571 × 32 × 71 × 411
LCM(2570,2583) = 6638310