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What is the Least Common Multiple of 65816 and 65832?

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 65816 and 65832 is 541599864.

LCM(65816,65832) = 541599864

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Least Common Multiple of 65816 and 65832 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 65816 and 65832, than apply into the LCM equation.

GCF(65816,65832) = 8
LCM(65816,65832) = ( 65816 × 65832) / 8
LCM(65816,65832) = 4332798912 / 8
LCM(65816,65832) = 541599864

Least Common Multiple (LCM) of 65816 and 65832 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65816 and 65832. First we will calculate the prime factors of 65816 and 65832.

Prime Factorization of 65816

Prime factors of 65816 are 2, 19, 433. Prime factorization of 65816 in exponential form is:

65816 = 23 × 191 × 4331

Prime Factorization of 65832

Prime factors of 65832 are 2, 3, 13, 211. Prime factorization of 65832 in exponential form is:

65832 = 23 × 31 × 131 × 2111

Now multiplying the highest exponent prime factors to calculate the LCM of 65816 and 65832.

LCM(65816,65832) = 23 × 191 × 4331 × 31 × 131 × 2111
LCM(65816,65832) = 541599864