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What is the Least Common Multiple of 3820 and 3827?

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 3820 and 3827 is 14619140.

LCM(3820,3827) = 14619140

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Least Common Multiple of 3820 and 3827 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3820 and 3827, than apply into the LCM equation.

GCF(3820,3827) = 1
LCM(3820,3827) = ( 3820 × 3827) / 1
LCM(3820,3827) = 14619140 / 1
LCM(3820,3827) = 14619140

Least Common Multiple (LCM) of 3820 and 3827 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3820 and 3827. First we will calculate the prime factors of 3820 and 3827.

Prime Factorization of 3820

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

3820 = 22 × 51 × 1911

Prime Factorization of 3827

Prime factors of 3827 are 43, 89. Prime factorization of 3827 in exponential form is:

3827 = 431 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3820 and 3827.

LCM(3820,3827) = 22 × 51 × 1911 × 431 × 891
LCM(3820,3827) = 14619140