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What is the Least Common Multiple of 65816 and 65828?

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 65828 is 1083133912.

LCM(65816,65828) = 1083133912

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Least Common Multiple of 65816 and 65828 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 65828, than apply into the LCM equation.

GCF(65816,65828) = 4
LCM(65816,65828) = ( 65816 × 65828) / 4
LCM(65816,65828) = 4332535648 / 4
LCM(65816,65828) = 1083133912

Least Common Multiple (LCM) of 65816 and 65828 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 65816 and 65828. First we will calculate the prime factors of 65816 and 65828.

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 65828

Prime factors of 65828 are 2, 7, 2351. Prime factorization of 65828 in exponential form is:

65828 = 22 × 71 × 23511

Now multiplying the highest exponent prime factors to calculate the LCM of 65816 and 65828.

LCM(65816,65828) = 23 × 191 × 4331 × 71 × 23511
LCM(65816,65828) = 1083133912