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What is the Least Common Multiple of 3597 and 3603?

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 3597 and 3603 is 4319997.

LCM(3597,3603) = 4319997

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Least Common Multiple of 3597 and 3603 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3597 and 3603, than apply into the LCM equation.

GCF(3597,3603) = 3
LCM(3597,3603) = ( 3597 × 3603) / 3
LCM(3597,3603) = 12959991 / 3
LCM(3597,3603) = 4319997

Least Common Multiple (LCM) of 3597 and 3603 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3597 and 3603. First we will calculate the prime factors of 3597 and 3603.

Prime Factorization of 3597

Prime factors of 3597 are 3, 11, 109. Prime factorization of 3597 in exponential form is:

3597 = 31 × 111 × 1091

Prime Factorization of 3603

Prime factors of 3603 are 3, 1201. Prime factorization of 3603 in exponential form is:

3603 = 31 × 12011

Now multiplying the highest exponent prime factors to calculate the LCM of 3597 and 3603.

LCM(3597,3603) = 31 × 111 × 1091 × 12011
LCM(3597,3603) = 4319997