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What is the Least Common Multiple of 52165 and 52169?

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 52165 and 52169 is 2721395885.

LCM(52165,52169) = 2721395885

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Least Common Multiple of 52165 and 52169 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52165 and 52169, than apply into the LCM equation.

GCF(52165,52169) = 1
LCM(52165,52169) = ( 52165 × 52169) / 1
LCM(52165,52169) = 2721395885 / 1
LCM(52165,52169) = 2721395885

Least Common Multiple (LCM) of 52165 and 52169 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52165 and 52169. First we will calculate the prime factors of 52165 and 52169.

Prime Factorization of 52165

Prime factors of 52165 are 5, 10433. Prime factorization of 52165 in exponential form is:

52165 = 51 × 104331

Prime Factorization of 52169

Prime factors of 52169 are 13, 4013. Prime factorization of 52169 in exponential form is:

52169 = 131 × 40131

Now multiplying the highest exponent prime factors to calculate the LCM of 52165 and 52169.

LCM(52165,52169) = 51 × 104331 × 131 × 40131
LCM(52165,52169) = 2721395885