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What is the Least Common Multiple of 2809 and 2820?

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 2809 and 2820 is 7921380.

LCM(2809,2820) = 7921380

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Least Common Multiple of 2809 and 2820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2809 and 2820, than apply into the LCM equation.

GCF(2809,2820) = 1
LCM(2809,2820) = ( 2809 × 2820) / 1
LCM(2809,2820) = 7921380 / 1
LCM(2809,2820) = 7921380

Least Common Multiple (LCM) of 2809 and 2820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2809 and 2820. First we will calculate the prime factors of 2809 and 2820.

Prime Factorization of 2809

Prime factors of 2809 are 53. Prime factorization of 2809 in exponential form is:

2809 = 532

Prime Factorization of 2820

Prime factors of 2820 are 2, 3, 5, 47. Prime factorization of 2820 in exponential form is:

2820 = 22 × 31 × 51 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 2809 and 2820.

LCM(2809,2820) = 532 × 22 × 31 × 51 × 471
LCM(2809,2820) = 7921380