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What is the Least Common Multiple of 52925 and 52943?

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 52925 and 52943 is 2802008275.

LCM(52925,52943) = 2802008275

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Least Common Multiple of 52925 and 52943 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52925 and 52943, than apply into the LCM equation.

GCF(52925,52943) = 1
LCM(52925,52943) = ( 52925 × 52943) / 1
LCM(52925,52943) = 2802008275 / 1
LCM(52925,52943) = 2802008275

Least Common Multiple (LCM) of 52925 and 52943 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52925 and 52943. First we will calculate the prime factors of 52925 and 52943.

Prime Factorization of 52925

Prime factors of 52925 are 5, 29, 73. Prime factorization of 52925 in exponential form is:

52925 = 52 × 291 × 731

Prime Factorization of 52943

Prime factors of 52943 are 11, 4813. Prime factorization of 52943 in exponential form is:

52943 = 111 × 48131

Now multiplying the highest exponent prime factors to calculate the LCM of 52925 and 52943.

LCM(52925,52943) = 52 × 291 × 731 × 111 × 48131
LCM(52925,52943) = 2802008275