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What is the Least Common Multiple of 3483 and 3502?

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 3483 and 3502 is 12197466.

LCM(3483,3502) = 12197466

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Least Common Multiple of 3483 and 3502 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3483 and 3502, than apply into the LCM equation.

GCF(3483,3502) = 1
LCM(3483,3502) = ( 3483 × 3502) / 1
LCM(3483,3502) = 12197466 / 1
LCM(3483,3502) = 12197466

Least Common Multiple (LCM) of 3483 and 3502 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3483 and 3502. First we will calculate the prime factors of 3483 and 3502.

Prime Factorization of 3483

Prime factors of 3483 are 3, 43. Prime factorization of 3483 in exponential form is:

3483 = 34 × 431

Prime Factorization of 3502

Prime factors of 3502 are 2, 17, 103. Prime factorization of 3502 in exponential form is:

3502 = 21 × 171 × 1031

Now multiplying the highest exponent prime factors to calculate the LCM of 3483 and 3502.

LCM(3483,3502) = 34 × 431 × 21 × 171 × 1031
LCM(3483,3502) = 12197466