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What is the Least Common Multiple of 52824 and 52838?

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 52824 and 52838 is 1395557256.

LCM(52824,52838) = 1395557256

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Least Common Multiple of 52824 and 52838 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52824 and 52838, than apply into the LCM equation.

GCF(52824,52838) = 2
LCM(52824,52838) = ( 52824 × 52838) / 2
LCM(52824,52838) = 2791114512 / 2
LCM(52824,52838) = 1395557256

Least Common Multiple (LCM) of 52824 and 52838 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52824 and 52838. First we will calculate the prime factors of 52824 and 52838.

Prime Factorization of 52824

Prime factors of 52824 are 2, 3, 31, 71. Prime factorization of 52824 in exponential form is:

52824 = 23 × 31 × 311 × 711

Prime Factorization of 52838

Prime factors of 52838 are 2, 29, 911. Prime factorization of 52838 in exponential form is:

52838 = 21 × 291 × 9111

Now multiplying the highest exponent prime factors to calculate the LCM of 52824 and 52838.

LCM(52824,52838) = 23 × 31 × 311 × 711 × 291 × 9111
LCM(52824,52838) = 1395557256