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What is the Least Common Multiple of 65550 and 65559?

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 65550 and 65559 is 1432464150.

LCM(65550,65559) = 1432464150

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Least Common Multiple of 65550 and 65559 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65550 and 65559, than apply into the LCM equation.

GCF(65550,65559) = 3
LCM(65550,65559) = ( 65550 × 65559) / 3
LCM(65550,65559) = 4297392450 / 3
LCM(65550,65559) = 1432464150

Least Common Multiple (LCM) of 65550 and 65559 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65550 and 65559. First we will calculate the prime factors of 65550 and 65559.

Prime Factorization of 65550

Prime factors of 65550 are 2, 3, 5, 19, 23. Prime factorization of 65550 in exponential form is:

65550 = 21 × 31 × 52 × 191 × 231

Prime Factorization of 65559

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

65559 = 31 × 131 × 412

Now multiplying the highest exponent prime factors to calculate the LCM of 65550 and 65559.

LCM(65550,65559) = 21 × 31 × 52 × 191 × 231 × 131 × 412
LCM(65550,65559) = 1432464150