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What is the Least Common Multiple of 65288 and 65303?

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 65288 and 65303 is 4263502264.

LCM(65288,65303) = 4263502264

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Least Common Multiple of 65288 and 65303 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65288 and 65303, than apply into the LCM equation.

GCF(65288,65303) = 1
LCM(65288,65303) = ( 65288 × 65303) / 1
LCM(65288,65303) = 4263502264 / 1
LCM(65288,65303) = 4263502264

Least Common Multiple (LCM) of 65288 and 65303 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65288 and 65303. First we will calculate the prime factors of 65288 and 65303.

Prime Factorization of 65288

Prime factors of 65288 are 2, 8161. Prime factorization of 65288 in exponential form is:

65288 = 23 × 81611

Prime Factorization of 65303

Prime factors of 65303 are 7, 19, 491. Prime factorization of 65303 in exponential form is:

65303 = 71 × 191 × 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 65288 and 65303.

LCM(65288,65303) = 23 × 81611 × 71 × 191 × 4911
LCM(65288,65303) = 4263502264