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What is the Least Common Multiple of 3862 and 3881?

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 3862 and 3881 is 14988422.

LCM(3862,3881) = 14988422

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Least Common Multiple of 3862 and 3881 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3862 and 3881, than apply into the LCM equation.

GCF(3862,3881) = 1
LCM(3862,3881) = ( 3862 × 3881) / 1
LCM(3862,3881) = 14988422 / 1
LCM(3862,3881) = 14988422

Least Common Multiple (LCM) of 3862 and 3881 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3862 and 3881. First we will calculate the prime factors of 3862 and 3881.

Prime Factorization of 3862

Prime factors of 3862 are 2, 1931. Prime factorization of 3862 in exponential form is:

3862 = 21 × 19311

Prime Factorization of 3881

Prime factors of 3881 are 3881. Prime factorization of 3881 in exponential form is:

3881 = 38811

Now multiplying the highest exponent prime factors to calculate the LCM of 3862 and 3881.

LCM(3862,3881) = 21 × 19311 × 38811
LCM(3862,3881) = 14988422