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What is the Least Common Multiple of 4085 and 4100?

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 4085 and 4100 is 3349700.

LCM(4085,4100) = 3349700

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Least Common Multiple of 4085 and 4100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4085 and 4100, than apply into the LCM equation.

GCF(4085,4100) = 5
LCM(4085,4100) = ( 4085 × 4100) / 5
LCM(4085,4100) = 16748500 / 5
LCM(4085,4100) = 3349700

Least Common Multiple (LCM) of 4085 and 4100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4085 and 4100. First we will calculate the prime factors of 4085 and 4100.

Prime Factorization of 4085

Prime factors of 4085 are 5, 19, 43. Prime factorization of 4085 in exponential form is:

4085 = 51 × 191 × 431

Prime Factorization of 4100

Prime factors of 4100 are 2, 5, 41. Prime factorization of 4100 in exponential form is:

4100 = 22 × 52 × 411

Now multiplying the highest exponent prime factors to calculate the LCM of 4085 and 4100.

LCM(4085,4100) = 52 × 191 × 431 × 22 × 411
LCM(4085,4100) = 3349700