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What is the Least Common Multiple of 88846 and 88862?

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 88846 and 88862 is 3947516626.

LCM(88846,88862) = 3947516626

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Least Common Multiple of 88846 and 88862 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88846 and 88862, than apply into the LCM equation.

GCF(88846,88862) = 2
LCM(88846,88862) = ( 88846 × 88862) / 2
LCM(88846,88862) = 7895033252 / 2
LCM(88846,88862) = 3947516626

Least Common Multiple (LCM) of 88846 and 88862 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88846 and 88862. First we will calculate the prime factors of 88846 and 88862.

Prime Factorization of 88846

Prime factors of 88846 are 2, 31, 1433. Prime factorization of 88846 in exponential form is:

88846 = 21 × 311 × 14331

Prime Factorization of 88862

Prime factors of 88862 are 2, 157, 283. Prime factorization of 88862 in exponential form is:

88862 = 21 × 1571 × 2831

Now multiplying the highest exponent prime factors to calculate the LCM of 88846 and 88862.

LCM(88846,88862) = 21 × 311 × 14331 × 1571 × 2831
LCM(88846,88862) = 3947516626