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What is the Least Common Multiple of 52424 and 52437?

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 52424 and 52437 is 2748957288.

LCM(52424,52437) = 2748957288

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Least Common Multiple of 52424 and 52437 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52424 and 52437, than apply into the LCM equation.

GCF(52424,52437) = 1
LCM(52424,52437) = ( 52424 × 52437) / 1
LCM(52424,52437) = 2748957288 / 1
LCM(52424,52437) = 2748957288

Least Common Multiple (LCM) of 52424 and 52437 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52424 and 52437. First we will calculate the prime factors of 52424 and 52437.

Prime Factorization of 52424

Prime factors of 52424 are 2, 6553. Prime factorization of 52424 in exponential form is:

52424 = 23 × 65531

Prime Factorization of 52437

Prime factors of 52437 are 3, 7, 11, 227. Prime factorization of 52437 in exponential form is:

52437 = 31 × 71 × 111 × 2271

Now multiplying the highest exponent prime factors to calculate the LCM of 52424 and 52437.

LCM(52424,52437) = 23 × 65531 × 31 × 71 × 111 × 2271
LCM(52424,52437) = 2748957288