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What is the Least Common Multiple of 52552 and 52569?

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 52552 and 52569 is 2762606088.

LCM(52552,52569) = 2762606088

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Least Common Multiple of 52552 and 52569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 52552 and 52569, than apply into the LCM equation.

GCF(52552,52569) = 1
LCM(52552,52569) = ( 52552 × 52569) / 1
LCM(52552,52569) = 2762606088 / 1
LCM(52552,52569) = 2762606088

Least Common Multiple (LCM) of 52552 and 52569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 52552 and 52569. First we will calculate the prime factors of 52552 and 52569.

Prime Factorization of 52552

Prime factors of 52552 are 2, 6569. Prime factorization of 52552 in exponential form is:

52552 = 23 × 65691

Prime Factorization of 52569

Prime factors of 52569 are 3, 11, 59. Prime factorization of 52569 in exponential form is:

52569 = 34 × 111 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 52552 and 52569.

LCM(52552,52569) = 23 × 65691 × 34 × 111 × 591
LCM(52552,52569) = 2762606088