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What is the Least Common Multiple of 64545 and 64558?

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 64545 and 64558 is 320530470.

LCM(64545,64558) = 320530470

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Least Common Multiple of 64545 and 64558 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 64545 and 64558, than apply into the LCM equation.

GCF(64545,64558) = 13
LCM(64545,64558) = ( 64545 × 64558) / 13
LCM(64545,64558) = 4166896110 / 13
LCM(64545,64558) = 320530470

Least Common Multiple (LCM) of 64545 and 64558 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 64545 and 64558. First we will calculate the prime factors of 64545 and 64558.

Prime Factorization of 64545

Prime factors of 64545 are 3, 5, 13, 331. Prime factorization of 64545 in exponential form is:

64545 = 31 × 51 × 131 × 3311

Prime Factorization of 64558

Prime factors of 64558 are 2, 13, 191. Prime factorization of 64558 in exponential form is:

64558 = 21 × 132 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 64545 and 64558.

LCM(64545,64558) = 31 × 51 × 132 × 3311 × 21 × 1911
LCM(64545,64558) = 320530470