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What is the Least Common Multiple of 88242 and 88246?

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 88242 and 88246 is 3893501766.

LCM(88242,88246) = 3893501766

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Least Common Multiple of 88242 and 88246 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88242 and 88246, than apply into the LCM equation.

GCF(88242,88246) = 2
LCM(88242,88246) = ( 88242 × 88246) / 2
LCM(88242,88246) = 7787003532 / 2
LCM(88242,88246) = 3893501766

Least Common Multiple (LCM) of 88242 and 88246 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88242 and 88246. First we will calculate the prime factors of 88242 and 88246.

Prime Factorization of 88242

Prime factors of 88242 are 2, 3, 7, 11, 191. Prime factorization of 88242 in exponential form is:

88242 = 21 × 31 × 71 × 111 × 1911

Prime Factorization of 88246

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

88246 = 21 × 441231

Now multiplying the highest exponent prime factors to calculate the LCM of 88242 and 88246.

LCM(88242,88246) = 21 × 31 × 71 × 111 × 1911 × 441231
LCM(88242,88246) = 3893501766