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What is the Least Common Multiple of 65093 and 65102?

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 65093 and 65102 is 4237684486.

LCM(65093,65102) = 4237684486

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Least Common Multiple of 65093 and 65102 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65093 and 65102, than apply into the LCM equation.

GCF(65093,65102) = 1
LCM(65093,65102) = ( 65093 × 65102) / 1
LCM(65093,65102) = 4237684486 / 1
LCM(65093,65102) = 4237684486

Least Common Multiple (LCM) of 65093 and 65102 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65093 and 65102. First we will calculate the prime factors of 65093 and 65102.

Prime Factorization of 65093

Prime factors of 65093 are 7, 17, 547. Prime factorization of 65093 in exponential form is:

65093 = 71 × 171 × 5471

Prime Factorization of 65102

Prime factors of 65102 are 2, 43, 757. Prime factorization of 65102 in exponential form is:

65102 = 21 × 431 × 7571

Now multiplying the highest exponent prime factors to calculate the LCM of 65093 and 65102.

LCM(65093,65102) = 71 × 171 × 5471 × 21 × 431 × 7571
LCM(65093,65102) = 4237684486