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What is the Least Common Multiple of 3803 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 3803 and 3820 is 14527460.

LCM(3803,3820) = 14527460

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Least Common Multiple of 3803 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 3803 and 3820, than apply into the LCM equation.

GCF(3803,3820) = 1
LCM(3803,3820) = ( 3803 × 3820) / 1
LCM(3803,3820) = 14527460 / 1
LCM(3803,3820) = 14527460

Least Common Multiple (LCM) of 3803 and 3820 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3803 and 3820. First we will calculate the prime factors of 3803 and 3820.

Prime Factorization of 3803

Prime factors of 3803 are 3803. Prime factorization of 3803 in exponential form is:

3803 = 38031

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 3803 and 3820.

LCM(3803,3820) = 38031 × 22 × 51 × 1911
LCM(3803,3820) = 14527460