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What is the Least Common Multiple of 88246 and 88259?

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 88246 and 88259 is 7788503714.

LCM(88246,88259) = 7788503714

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Least Common Multiple of 88246 and 88259 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88246 and 88259, than apply into the LCM equation.

GCF(88246,88259) = 1
LCM(88246,88259) = ( 88246 × 88259) / 1
LCM(88246,88259) = 7788503714 / 1
LCM(88246,88259) = 7788503714

Least Common Multiple (LCM) of 88246 and 88259 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88246 and 88259. First we will calculate the prime factors of 88246 and 88259.

Prime Factorization of 88246

Prime factors of 88246 are 2, 44123. Prime factorization of 88246 in exponential form is:

88246 = 21 × 441231

Prime Factorization of 88259

Prime factors of 88259 are 88259. Prime factorization of 88259 in exponential form is:

88259 = 882591

Now multiplying the highest exponent prime factors to calculate the LCM of 88246 and 88259.

LCM(88246,88259) = 21 × 441231 × 882591
LCM(88246,88259) = 7788503714