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What is the Least Common Multiple of 52466 and 52471?

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 52466 and 52471 is 2752943486.

LCM(52466,52471) = 2752943486

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Least Common Multiple of 52466 and 52471 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52466 and 52471, than apply into the LCM equation.

GCF(52466,52471) = 1
LCM(52466,52471) = ( 52466 × 52471) / 1
LCM(52466,52471) = 2752943486 / 1
LCM(52466,52471) = 2752943486

Least Common Multiple (LCM) of 52466 and 52471 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52466 and 52471. First we will calculate the prime factors of 52466 and 52471.

Prime Factorization of 52466

Prime factors of 52466 are 2, 37, 709. Prime factorization of 52466 in exponential form is:

52466 = 21 × 371 × 7091

Prime Factorization of 52471

Prime factors of 52471 are 137, 383. Prime factorization of 52471 in exponential form is:

52471 = 1371 × 3831

Now multiplying the highest exponent prime factors to calculate the LCM of 52466 and 52471.

LCM(52466,52471) = 21 × 371 × 7091 × 1371 × 3831
LCM(52466,52471) = 2752943486