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What is the Least Common Multiple of 3483 and 3503?

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 3503 is 12200949.

LCM(3483,3503) = 12200949

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Least Common Multiple of 3483 and 3503 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 3503, than apply into the LCM equation.

GCF(3483,3503) = 1
LCM(3483,3503) = ( 3483 × 3503) / 1
LCM(3483,3503) = 12200949 / 1
LCM(3483,3503) = 12200949

Least Common Multiple (LCM) of 3483 and 3503 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3483 and 3503. First we will calculate the prime factors of 3483 and 3503.

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 3503

Prime factors of 3503 are 31, 113. Prime factorization of 3503 in exponential form is:

3503 = 311 × 1131

Now multiplying the highest exponent prime factors to calculate the LCM of 3483 and 3503.

LCM(3483,3503) = 34 × 431 × 311 × 1131
LCM(3483,3503) = 12200949