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What is the Least Common Multiple of 52787 and 52797?

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 52787 and 52797 is 2786995239.

LCM(52787,52797) = 2786995239

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Least Common Multiple of 52787 and 52797 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52787 and 52797, than apply into the LCM equation.

GCF(52787,52797) = 1
LCM(52787,52797) = ( 52787 × 52797) / 1
LCM(52787,52797) = 2786995239 / 1
LCM(52787,52797) = 2786995239

Least Common Multiple (LCM) of 52787 and 52797 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52787 and 52797. First we will calculate the prime factors of 52787 and 52797.

Prime Factorization of 52787

Prime factors of 52787 are 7, 7541. Prime factorization of 52787 in exponential form is:

52787 = 71 × 75411

Prime Factorization of 52797

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

52797 = 31 × 175991

Now multiplying the highest exponent prime factors to calculate the LCM of 52787 and 52797.

LCM(52787,52797) = 71 × 75411 × 31 × 175991
LCM(52787,52797) = 2786995239