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What is the Least Common Multiple of 52797 and 52815?

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 52797 and 52815 is 929491185.

LCM(52797,52815) = 929491185

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Least Common Multiple of 52797 and 52815 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52797 and 52815, than apply into the LCM equation.

GCF(52797,52815) = 3
LCM(52797,52815) = ( 52797 × 52815) / 3
LCM(52797,52815) = 2788473555 / 3
LCM(52797,52815) = 929491185

Least Common Multiple (LCM) of 52797 and 52815 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52797 and 52815. First we will calculate the prime factors of 52797 and 52815.

Prime Factorization of 52797

Prime factors of 52797 are 3, 17599. Prime factorization of 52797 in exponential form is:

52797 = 31 × 175991

Prime Factorization of 52815

Prime factors of 52815 are 3, 5, 7, 503. Prime factorization of 52815 in exponential form is:

52815 = 31 × 51 × 71 × 5031

Now multiplying the highest exponent prime factors to calculate the LCM of 52797 and 52815.

LCM(52797,52815) = 31 × 175991 × 51 × 71 × 5031
LCM(52797,52815) = 929491185