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What is the Least Common Multiple of 88223 and 88233?

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 88223 and 88233 is 7784179959.

LCM(88223,88233) = 7784179959

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Least Common Multiple of 88223 and 88233 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88223 and 88233, than apply into the LCM equation.

GCF(88223,88233) = 1
LCM(88223,88233) = ( 88223 × 88233) / 1
LCM(88223,88233) = 7784179959 / 1
LCM(88223,88233) = 7784179959

Least Common Multiple (LCM) of 88223 and 88233 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88223 and 88233. First we will calculate the prime factors of 88223 and 88233.

Prime Factorization of 88223

Prime factors of 88223 are 88223. Prime factorization of 88223 in exponential form is:

88223 = 882231

Prime Factorization of 88233

Prime factors of 88233 are 3, 29411. Prime factorization of 88233 in exponential form is:

88233 = 31 × 294111

Now multiplying the highest exponent prime factors to calculate the LCM of 88223 and 88233.

LCM(88223,88233) = 882231 × 31 × 294111
LCM(88223,88233) = 7784179959