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What is the Least Common Multiple of 65559 and 65576?

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 65559 and 65576 is 4299096984.

LCM(65559,65576) = 4299096984

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Least Common Multiple of 65559 and 65576 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65559 and 65576, than apply into the LCM equation.

GCF(65559,65576) = 1
LCM(65559,65576) = ( 65559 × 65576) / 1
LCM(65559,65576) = 4299096984 / 1
LCM(65559,65576) = 4299096984

Least Common Multiple (LCM) of 65559 and 65576 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65559 and 65576. First we will calculate the prime factors of 65559 and 65576.

Prime Factorization of 65559

Prime factors of 65559 are 3, 13, 41. Prime factorization of 65559 in exponential form is:

65559 = 31 × 131 × 412

Prime Factorization of 65576

Prime factors of 65576 are 2, 7, 1171. Prime factorization of 65576 in exponential form is:

65576 = 23 × 71 × 11711

Now multiplying the highest exponent prime factors to calculate the LCM of 65559 and 65576.

LCM(65559,65576) = 31 × 131 × 412 × 23 × 71 × 11711
LCM(65559,65576) = 4299096984