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What is the Least Common Multiple of 2852 and 2870?

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 2852 and 2870 is 4092620.

LCM(2852,2870) = 4092620

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Least Common Multiple of 2852 and 2870 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 2852 and 2870, than apply into the LCM equation.

GCF(2852,2870) = 2
LCM(2852,2870) = ( 2852 × 2870) / 2
LCM(2852,2870) = 8185240 / 2
LCM(2852,2870) = 4092620

Least Common Multiple (LCM) of 2852 and 2870 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 2852 and 2870. First we will calculate the prime factors of 2852 and 2870.

Prime Factorization of 2852

Prime factors of 2852 are 2, 23, 31. Prime factorization of 2852 in exponential form is:

2852 = 22 × 231 × 311

Prime Factorization of 2870

Prime factors of 2870 are 2, 5, 7, 41. Prime factorization of 2870 in exponential form is:

2870 = 21 × 51 × 71 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 2852 and 2870.

LCM(2852,2870) = 22 × 231 × 311 × 51 × 71 × 411
LCM(2852,2870) = 4092620