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What is the Least Common Multiple of 3917 and 3928?

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 3917 and 3928 is 15385976.

LCM(3917,3928) = 15385976

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Least Common Multiple of 3917 and 3928 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3917 and 3928, than apply into the LCM equation.

GCF(3917,3928) = 1
LCM(3917,3928) = ( 3917 × 3928) / 1
LCM(3917,3928) = 15385976 / 1
LCM(3917,3928) = 15385976

Least Common Multiple (LCM) of 3917 and 3928 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3917 and 3928. First we will calculate the prime factors of 3917 and 3928.

Prime Factorization of 3917

Prime factors of 3917 are 3917. Prime factorization of 3917 in exponential form is:

3917 = 39171

Prime Factorization of 3928

Prime factors of 3928 are 2, 491. Prime factorization of 3928 in exponential form is:

3928 = 23 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 3917 and 3928.

LCM(3917,3928) = 39171 × 23 × 4911
LCM(3917,3928) = 15385976