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What is the Least Common Multiple of 65560 and 65569?

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 65560 and 65569 is 4298703640.

LCM(65560,65569) = 4298703640

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Least Common Multiple of 65560 and 65569 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65560 and 65569, than apply into the LCM equation.

GCF(65560,65569) = 1
LCM(65560,65569) = ( 65560 × 65569) / 1
LCM(65560,65569) = 4298703640 / 1
LCM(65560,65569) = 4298703640

Least Common Multiple (LCM) of 65560 and 65569 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65560 and 65569. First we will calculate the prime factors of 65560 and 65569.

Prime Factorization of 65560

Prime factors of 65560 are 2, 5, 11, 149. Prime factorization of 65560 in exponential form is:

65560 = 23 × 51 × 111 × 1491

Prime Factorization of 65569

Prime factors of 65569 are 7, 17, 19, 29. Prime factorization of 65569 in exponential form is:

65569 = 71 × 171 × 191 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 65560 and 65569.

LCM(65560,65569) = 23 × 51 × 111 × 1491 × 71 × 171 × 191 × 291
LCM(65560,65569) = 4298703640