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What is the Least Common Multiple of 52113 and 52122?

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 52113 and 52122 is 905411262.

LCM(52113,52122) = 905411262

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Least Common Multiple of 52113 and 52122 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52113 and 52122, than apply into the LCM equation.

GCF(52113,52122) = 3
LCM(52113,52122) = ( 52113 × 52122) / 3
LCM(52113,52122) = 2716233786 / 3
LCM(52113,52122) = 905411262

Least Common Multiple (LCM) of 52113 and 52122 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52113 and 52122. First we will calculate the prime factors of 52113 and 52122.

Prime Factorization of 52113

Prime factors of 52113 are 3, 29, 599. Prime factorization of 52113 in exponential form is:

52113 = 31 × 291 × 5991

Prime Factorization of 52122

Prime factors of 52122 are 2, 3, 7, 17, 73. Prime factorization of 52122 in exponential form is:

52122 = 21 × 31 × 71 × 171 × 731

Now multiplying the highest exponent prime factors to calculate the LCM of 52113 and 52122.

LCM(52113,52122) = 31 × 291 × 5991 × 21 × 71 × 171 × 731
LCM(52113,52122) = 905411262