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What is the Least Common Multiple of 52147 and 52161?

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 52147 and 52161 is 2720039667.

LCM(52147,52161) = 2720039667

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Least Common Multiple of 52147 and 52161 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52147 and 52161, than apply into the LCM equation.

GCF(52147,52161) = 1
LCM(52147,52161) = ( 52147 × 52161) / 1
LCM(52147,52161) = 2720039667 / 1
LCM(52147,52161) = 2720039667

Least Common Multiple (LCM) of 52147 and 52161 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52147 and 52161. First we will calculate the prime factors of 52147 and 52161.

Prime Factorization of 52147

Prime factors of 52147 are 52147. Prime factorization of 52147 in exponential form is:

52147 = 521471

Prime Factorization of 52161

Prime factors of 52161 are 3, 17387. Prime factorization of 52161 in exponential form is:

52161 = 31 × 173871

Now multiplying the highest exponent prime factors to calculate the LCM of 52147 and 52161.

LCM(52147,52161) = 521471 × 31 × 173871
LCM(52147,52161) = 2720039667