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What is the Least Common Multiple of 52532 and 52537?

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 52532 and 52537 is 2759873684.

LCM(52532,52537) = 2759873684

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Least Common Multiple of 52532 and 52537 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52532 and 52537, than apply into the LCM equation.

GCF(52532,52537) = 1
LCM(52532,52537) = ( 52532 × 52537) / 1
LCM(52532,52537) = 2759873684 / 1
LCM(52532,52537) = 2759873684

Least Common Multiple (LCM) of 52532 and 52537 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52532 and 52537. First we will calculate the prime factors of 52532 and 52537.

Prime Factorization of 52532

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

52532 = 22 × 231 × 5711

Prime Factorization of 52537

Prime factors of 52537 are 107, 491. Prime factorization of 52537 in exponential form is:

52537 = 1071 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 52532 and 52537.

LCM(52532,52537) = 22 × 231 × 5711 × 1071 × 4911
LCM(52532,52537) = 2759873684