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What is the Least Common Multiple of 4188 and 4204?

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 4188 and 4204 is 4401588.

LCM(4188,4204) = 4401588

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Least Common Multiple of 4188 and 4204 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 4188 and 4204, than apply into the LCM equation.

GCF(4188,4204) = 4
LCM(4188,4204) = ( 4188 × 4204) / 4
LCM(4188,4204) = 17606352 / 4
LCM(4188,4204) = 4401588

Least Common Multiple (LCM) of 4188 and 4204 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 4188 and 4204. First we will calculate the prime factors of 4188 and 4204.

Prime Factorization of 4188

Prime factors of 4188 are 2, 3, 349. Prime factorization of 4188 in exponential form is:

4188 = 22 × 31 × 3491

Prime Factorization of 4204

Prime factors of 4204 are 2, 1051. Prime factorization of 4204 in exponential form is:

4204 = 22 × 10511

Now multiplying the highest exponent prime factors to calculate the LCM of 4188 and 4204.

LCM(4188,4204) = 22 × 31 × 3491 × 10511
LCM(4188,4204) = 4401588