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What is the Least Common Multiple of 3491 and 3501?

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 3491 and 3501 is 12221991.

LCM(3491,3501) = 12221991

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Least Common Multiple of 3491 and 3501 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3491 and 3501, than apply into the LCM equation.

GCF(3491,3501) = 1
LCM(3491,3501) = ( 3491 × 3501) / 1
LCM(3491,3501) = 12221991 / 1
LCM(3491,3501) = 12221991

Least Common Multiple (LCM) of 3491 and 3501 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3491 and 3501. First we will calculate the prime factors of 3491 and 3501.

Prime Factorization of 3491

Prime factors of 3491 are 3491. Prime factorization of 3491 in exponential form is:

3491 = 34911

Prime Factorization of 3501

Prime factors of 3501 are 3, 389. Prime factorization of 3501 in exponential form is:

3501 = 32 × 3891

Now multiplying the highest exponent prime factors to calculate the LCM of 3491 and 3501.

LCM(3491,3501) = 34911 × 32 × 3891
LCM(3491,3501) = 12221991