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What is the Least Common Multiple of 3603 and 3620?

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 3603 and 3620 is 13042860.

LCM(3603,3620) = 13042860

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Least Common Multiple of 3603 and 3620 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3603 and 3620, than apply into the LCM equation.

GCF(3603,3620) = 1
LCM(3603,3620) = ( 3603 × 3620) / 1
LCM(3603,3620) = 13042860 / 1
LCM(3603,3620) = 13042860

Least Common Multiple (LCM) of 3603 and 3620 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3603 and 3620. First we will calculate the prime factors of 3603 and 3620.

Prime Factorization of 3603

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

3603 = 31 × 12011

Prime Factorization of 3620

Prime factors of 3620 are 2, 5, 181. Prime factorization of 3620 in exponential form is:

3620 = 22 × 51 × 1811

Now multiplying the highest exponent prime factors to calculate the LCM of 3603 and 3620.

LCM(3603,3620) = 31 × 12011 × 22 × 51 × 1811
LCM(3603,3620) = 13042860