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What is the Least Common Multiple of 65189 and 65209?

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 65189 and 65209 is 4250909501.

LCM(65189,65209) = 4250909501

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Least Common Multiple of 65189 and 65209 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65189 and 65209, than apply into the LCM equation.

GCF(65189,65209) = 1
LCM(65189,65209) = ( 65189 × 65209) / 1
LCM(65189,65209) = 4250909501 / 1
LCM(65189,65209) = 4250909501

Least Common Multiple (LCM) of 65189 and 65209 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65189 and 65209. First we will calculate the prime factors of 65189 and 65209.

Prime Factorization of 65189

Prime factors of 65189 are 19, 47, 73. Prime factorization of 65189 in exponential form is:

65189 = 191 × 471 × 731

Prime Factorization of 65209

Prime factors of 65209 are 61, 1069. Prime factorization of 65209 in exponential form is:

65209 = 611 × 10691

Now multiplying the highest exponent prime factors to calculate the LCM of 65189 and 65209.

LCM(65189,65209) = 191 × 471 × 731 × 611 × 10691
LCM(65189,65209) = 4250909501