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What is the Least Common Multiple of 3810 and 3820?

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 3810 and 3820 is 1455420.

LCM(3810,3820) = 1455420

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Least Common Multiple of 3810 and 3820 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3810 and 3820, than apply into the LCM equation.

GCF(3810,3820) = 10
LCM(3810,3820) = ( 3810 × 3820) / 10
LCM(3810,3820) = 14554200 / 10
LCM(3810,3820) = 1455420

Least Common Multiple (LCM) of 3810 and 3820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3810 and 3820. First we will calculate the prime factors of 3810 and 3820.

Prime Factorization of 3810

Prime factors of 3810 are 2, 3, 5, 127. Prime factorization of 3810 in exponential form is:

3810 = 21 × 31 × 51 × 1271

Prime Factorization of 3820

Prime factors of 3820 are 2, 5, 191. Prime factorization of 3820 in exponential form is:

3820 = 22 × 51 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 3810 and 3820.

LCM(3810,3820) = 22 × 31 × 51 × 1271 × 1911
LCM(3810,3820) = 1455420