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What is the Least Common Multiple of 7188 and 7205?

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 7188 and 7205 is 51789540.

LCM(7188,7205) = 51789540

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Least Common Multiple of 7188 and 7205 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 7188 and 7205, than apply into the LCM equation.

GCF(7188,7205) = 1
LCM(7188,7205) = ( 7188 × 7205) / 1
LCM(7188,7205) = 51789540 / 1
LCM(7188,7205) = 51789540

Least Common Multiple (LCM) of 7188 and 7205 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 7188 and 7205. First we will calculate the prime factors of 7188 and 7205.

Prime Factorization of 7188

Prime factors of 7188 are 2, 3, 599. Prime factorization of 7188 in exponential form is:

7188 = 22 × 31 × 5991

Prime Factorization of 7205

Prime factors of 7205 are 5, 11, 131. Prime factorization of 7205 in exponential form is:

7205 = 51 × 111 × 1311

Now multiplying the highest exponent prime factors to calculate the LCM of 7188 and 7205.

LCM(7188,7205) = 22 × 31 × 5991 × 51 × 111 × 1311
LCM(7188,7205) = 51789540