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What is the Least Common Multiple of 52514 and 52532?

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 52514 and 52532 is 1379332724.

LCM(52514,52532) = 1379332724

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Least Common Multiple of 52514 and 52532 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52514 and 52532, than apply into the LCM equation.

GCF(52514,52532) = 2
LCM(52514,52532) = ( 52514 × 52532) / 2
LCM(52514,52532) = 2758665448 / 2
LCM(52514,52532) = 1379332724

Least Common Multiple (LCM) of 52514 and 52532 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52514 and 52532. First we will calculate the prime factors of 52514 and 52532.

Prime Factorization of 52514

Prime factors of 52514 are 2, 7, 11, 31. Prime factorization of 52514 in exponential form is:

52514 = 21 × 71 × 112 × 311

Prime Factorization of 52532

Prime factors of 52532 are 2, 23, 571. Prime factorization of 52532 in exponential form is:

52532 = 22 × 231 × 5711

Now multiplying the highest exponent prime factors to calculate the LCM of 52514 and 52532.

LCM(52514,52532) = 22 × 71 × 112 × 311 × 231 × 5711
LCM(52514,52532) = 1379332724