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What is the Least Common Multiple of 52749 and 52768?

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 52749 and 52768 is 2783459232.

LCM(52749,52768) = 2783459232

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Least Common Multiple of 52749 and 52768 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52749 and 52768, than apply into the LCM equation.

GCF(52749,52768) = 1
LCM(52749,52768) = ( 52749 × 52768) / 1
LCM(52749,52768) = 2783459232 / 1
LCM(52749,52768) = 2783459232

Least Common Multiple (LCM) of 52749 and 52768 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52749 and 52768. First we will calculate the prime factors of 52749 and 52768.

Prime Factorization of 52749

Prime factors of 52749 are 3, 5861. Prime factorization of 52749 in exponential form is:

52749 = 32 × 58611

Prime Factorization of 52768

Prime factors of 52768 are 2, 17, 97. Prime factorization of 52768 in exponential form is:

52768 = 25 × 171 × 971

Now multiplying the highest exponent prime factors to calculate the LCM of 52749 and 52768.

LCM(52749,52768) = 32 × 58611 × 25 × 171 × 971
LCM(52749,52768) = 2783459232