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What is the Least Common Multiple of 65500 and 65518?

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 65500 and 65518 is 2145714500.

LCM(65500,65518) = 2145714500

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Least Common Multiple of 65500 and 65518 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65500 and 65518, than apply into the LCM equation.

GCF(65500,65518) = 2
LCM(65500,65518) = ( 65500 × 65518) / 2
LCM(65500,65518) = 4291429000 / 2
LCM(65500,65518) = 2145714500

Least Common Multiple (LCM) of 65500 and 65518 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65500 and 65518. First we will calculate the prime factors of 65500 and 65518.

Prime Factorization of 65500

Prime factors of 65500 are 2, 5, 131. Prime factorization of 65500 in exponential form is:

65500 = 22 × 53 × 1311

Prime Factorization of 65518

Prime factors of 65518 are 2, 17, 41, 47. Prime factorization of 65518 in exponential form is:

65518 = 21 × 171 × 411 × 471

Now multiplying the highest exponent prime factors to calculate the LCM of 65500 and 65518.

LCM(65500,65518) = 22 × 53 × 1311 × 171 × 411 × 471
LCM(65500,65518) = 2145714500