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What is the Least Common Multiple of 52442 and 52452?

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 52442 and 52452 is 1375343892.

LCM(52442,52452) = 1375343892

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Least Common Multiple of 52442 and 52452 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52442 and 52452, than apply into the LCM equation.

GCF(52442,52452) = 2
LCM(52442,52452) = ( 52442 × 52452) / 2
LCM(52442,52452) = 2750687784 / 2
LCM(52442,52452) = 1375343892

Least Common Multiple (LCM) of 52442 and 52452 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52442 and 52452. First we will calculate the prime factors of 52442 and 52452.

Prime Factorization of 52442

Prime factors of 52442 are 2, 13, 2017. Prime factorization of 52442 in exponential form is:

52442 = 21 × 131 × 20171

Prime Factorization of 52452

Prime factors of 52452 are 2, 3, 31, 47. Prime factorization of 52452 in exponential form is:

52452 = 22 × 32 × 311 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 52442 and 52452.

LCM(52442,52452) = 22 × 131 × 20171 × 32 × 311 × 471
LCM(52442,52452) = 1375343892