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What is the Least Common Multiple of 2643 and 2650?

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 2643 and 2650 is 7003950.

LCM(2643,2650) = 7003950

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Least Common Multiple of 2643 and 2650 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2643 and 2650, than apply into the LCM equation.

GCF(2643,2650) = 1
LCM(2643,2650) = ( 2643 × 2650) / 1
LCM(2643,2650) = 7003950 / 1
LCM(2643,2650) = 7003950

Least Common Multiple (LCM) of 2643 and 2650 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2643 and 2650. First we will calculate the prime factors of 2643 and 2650.

Prime Factorization of 2643

Prime factors of 2643 are 3, 881. Prime factorization of 2643 in exponential form is:

2643 = 31 × 8811

Prime Factorization of 2650

Prime factors of 2650 are 2, 5, 53. Prime factorization of 2650 in exponential form is:

2650 = 21 × 52 × 531

Now multiplying the highest exponent prime factors to calculate the LCM of 2643 and 2650.

LCM(2643,2650) = 31 × 8811 × 21 × 52 × 531
LCM(2643,2650) = 7003950