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What is the Least Common Multiple of 3898 and 3916?

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 3898 and 3916 is 7632284.

LCM(3898,3916) = 7632284

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Least Common Multiple of 3898 and 3916 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3898 and 3916, than apply into the LCM equation.

GCF(3898,3916) = 2
LCM(3898,3916) = ( 3898 × 3916) / 2
LCM(3898,3916) = 15264568 / 2
LCM(3898,3916) = 7632284

Least Common Multiple (LCM) of 3898 and 3916 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3898 and 3916. First we will calculate the prime factors of 3898 and 3916.

Prime Factorization of 3898

Prime factors of 3898 are 2, 1949. Prime factorization of 3898 in exponential form is:

3898 = 21 × 19491

Prime Factorization of 3916

Prime factors of 3916 are 2, 11, 89. Prime factorization of 3916 in exponential form is:

3916 = 22 × 111 × 891

Now multiplying the highest exponent prime factors to calculate the LCM of 3898 and 3916.

LCM(3898,3916) = 22 × 19491 × 111 × 891
LCM(3898,3916) = 7632284