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What is the Least Common Multiple of 65588 and 65604?

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 65588 and 65604 is 1075708788.

LCM(65588,65604) = 1075708788

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Least Common Multiple of 65588 and 65604 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65588 and 65604, than apply into the LCM equation.

GCF(65588,65604) = 4
LCM(65588,65604) = ( 65588 × 65604) / 4
LCM(65588,65604) = 4302835152 / 4
LCM(65588,65604) = 1075708788

Least Common Multiple (LCM) of 65588 and 65604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65588 and 65604. First we will calculate the prime factors of 65588 and 65604.

Prime Factorization of 65588

Prime factors of 65588 are 2, 19, 863. Prime factorization of 65588 in exponential form is:

65588 = 22 × 191 × 8631

Prime Factorization of 65604

Prime factors of 65604 are 2, 3, 7, 11, 71. Prime factorization of 65604 in exponential form is:

65604 = 22 × 31 × 71 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 65588 and 65604.

LCM(65588,65604) = 22 × 191 × 8631 × 31 × 71 × 111 × 711
LCM(65588,65604) = 1075708788