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What is the Least Common Multiple of 52389 and 52409?

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 52389 and 52409 is 2745655101.

LCM(52389,52409) = 2745655101

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Least Common Multiple of 52389 and 52409 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52389 and 52409, than apply into the LCM equation.

GCF(52389,52409) = 1
LCM(52389,52409) = ( 52389 × 52409) / 1
LCM(52389,52409) = 2745655101 / 1
LCM(52389,52409) = 2745655101

Least Common Multiple (LCM) of 52389 and 52409 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52389 and 52409. First we will calculate the prime factors of 52389 and 52409.

Prime Factorization of 52389

Prime factors of 52389 are 3, 5821. Prime factorization of 52389 in exponential form is:

52389 = 32 × 58211

Prime Factorization of 52409

Prime factors of 52409 are 7, 7487. Prime factorization of 52409 in exponential form is:

52409 = 71 × 74871

Now multiplying the highest exponent prime factors to calculate the LCM of 52389 and 52409.

LCM(52389,52409) = 32 × 58211 × 71 × 74871
LCM(52389,52409) = 2745655101