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What is the Least Common Multiple of 52921 and 52927?

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 52921 and 52927 is 2800949767.

LCM(52921,52927) = 2800949767

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Least Common Multiple of 52921 and 52927 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52921 and 52927, than apply into the LCM equation.

GCF(52921,52927) = 1
LCM(52921,52927) = ( 52921 × 52927) / 1
LCM(52921,52927) = 2800949767 / 1
LCM(52921,52927) = 2800949767

Least Common Multiple (LCM) of 52921 and 52927 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52921 and 52927. First we will calculate the prime factors of 52921 and 52927.

Prime Factorization of 52921

Prime factors of 52921 are 11, 17, 283. Prime factorization of 52921 in exponential form is:

52921 = 111 × 171 × 2831

Prime Factorization of 52927

Prime factors of 52927 are 7, 7561. Prime factorization of 52927 in exponential form is:

52927 = 71 × 75611

Now multiplying the highest exponent prime factors to calculate the LCM of 52921 and 52927.

LCM(52921,52927) = 111 × 171 × 2831 × 71 × 75611
LCM(52921,52927) = 2800949767