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What is the Least Common Multiple of 2820 and 2827?

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 2820 and 2827 is 7972140.

LCM(2820,2827) = 7972140

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Least Common Multiple of 2820 and 2827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2820 and 2827, than apply into the LCM equation.

GCF(2820,2827) = 1
LCM(2820,2827) = ( 2820 × 2827) / 1
LCM(2820,2827) = 7972140 / 1
LCM(2820,2827) = 7972140

Least Common Multiple (LCM) of 2820 and 2827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2820 and 2827. First we will calculate the prime factors of 2820 and 2827.

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

Prime Factorization of 2827

Prime factors of 2827 are 11, 257. Prime factorization of 2827 in exponential form is:

2827 = 111 × 2571

Now multiplying the highest exponent prime factors to calculate the LCM of 2820 and 2827.

LCM(2820,2827) = 22 × 31 × 51 × 471 × 111 × 2571
LCM(2820,2827) = 7972140