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What is the Least Common Multiple of 65504 and 65513?

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 65504 and 65513 is 4291363552.

LCM(65504,65513) = 4291363552

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Least Common Multiple of 65504 and 65513 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65504 and 65513, than apply into the LCM equation.

GCF(65504,65513) = 1
LCM(65504,65513) = ( 65504 × 65513) / 1
LCM(65504,65513) = 4291363552 / 1
LCM(65504,65513) = 4291363552

Least Common Multiple (LCM) of 65504 and 65513 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65504 and 65513. First we will calculate the prime factors of 65504 and 65513.

Prime Factorization of 65504

Prime factors of 65504 are 2, 23, 89. Prime factorization of 65504 in exponential form is:

65504 = 25 × 231 × 891

Prime Factorization of 65513

Prime factors of 65513 are 7, 191. Prime factorization of 65513 in exponential form is:

65513 = 73 × 1911

Now multiplying the highest exponent prime factors to calculate the LCM of 65504 and 65513.

LCM(65504,65513) = 25 × 231 × 891 × 73 × 1911
LCM(65504,65513) = 4291363552