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What is the Least Common Multiple of 65590 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 65590 and 65604 is 307354740.

LCM(65590,65604) = 307354740

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Least Common Multiple of 65590 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 65590 and 65604, than apply into the LCM equation.

GCF(65590,65604) = 14
LCM(65590,65604) = ( 65590 × 65604) / 14
LCM(65590,65604) = 4302966360 / 14
LCM(65590,65604) = 307354740

Least Common Multiple (LCM) of 65590 and 65604 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65590 and 65604. First we will calculate the prime factors of 65590 and 65604.

Prime Factorization of 65590

Prime factors of 65590 are 2, 5, 7, 937. Prime factorization of 65590 in exponential form is:

65590 = 21 × 51 × 71 × 9371

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 65590 and 65604.

LCM(65590,65604) = 22 × 51 × 71 × 9371 × 31 × 111 × 711
LCM(65590,65604) = 307354740