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What is the Least Common Multiple of 52188 and 52195?

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 52188 and 52195 is 2723952660.

LCM(52188,52195) = 2723952660

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Least Common Multiple of 52188 and 52195 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52188 and 52195, than apply into the LCM equation.

GCF(52188,52195) = 1
LCM(52188,52195) = ( 52188 × 52195) / 1
LCM(52188,52195) = 2723952660 / 1
LCM(52188,52195) = 2723952660

Least Common Multiple (LCM) of 52188 and 52195 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52188 and 52195. First we will calculate the prime factors of 52188 and 52195.

Prime Factorization of 52188

Prime factors of 52188 are 2, 3, 4349. Prime factorization of 52188 in exponential form is:

52188 = 22 × 31 × 43491

Prime Factorization of 52195

Prime factors of 52195 are 5, 11, 13, 73. Prime factorization of 52195 in exponential form is:

52195 = 51 × 111 × 131 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 52188 and 52195.

LCM(52188,52195) = 22 × 31 × 43491 × 51 × 111 × 131 × 731
LCM(52188,52195) = 2723952660