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What is the Least Common Multiple of 3204 and 3220?

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 3204 and 3220 is 2579220.

LCM(3204,3220) = 2579220

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Least Common Multiple of 3204 and 3220 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3204 and 3220, than apply into the LCM equation.

GCF(3204,3220) = 4
LCM(3204,3220) = ( 3204 × 3220) / 4
LCM(3204,3220) = 10316880 / 4
LCM(3204,3220) = 2579220

Least Common Multiple (LCM) of 3204 and 3220 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 3204 and 3220. First we will calculate the prime factors of 3204 and 3220.

Prime Factorization of 3204

Prime factors of 3204 are 2, 3, 89. Prime factorization of 3204 in exponential form is:

3204 = 22 × 32 × 891

Prime Factorization of 3220

Prime factors of 3220 are 2, 5, 7, 23. Prime factorization of 3220 in exponential form is:

3220 = 22 × 51 × 71 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 3204 and 3220.

LCM(3204,3220) = 22 × 32 × 891 × 51 × 71 × 231
LCM(3204,3220) = 2579220