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What is the Least Common Multiple of 88831 and 88846?

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 88831 and 88846 is 7892279026.

LCM(88831,88846) = 7892279026

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Least Common Multiple of 88831 and 88846 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88831 and 88846, than apply into the LCM equation.

GCF(88831,88846) = 1
LCM(88831,88846) = ( 88831 × 88846) / 1
LCM(88831,88846) = 7892279026 / 1
LCM(88831,88846) = 7892279026

Least Common Multiple (LCM) of 88831 and 88846 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88831 and 88846. First we will calculate the prime factors of 88831 and 88846.

Prime Factorization of 88831

Prime factors of 88831 are 211, 421. Prime factorization of 88831 in exponential form is:

88831 = 2111 × 4211

Prime Factorization of 88846

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

88846 = 21 × 311 × 14331

Now multiplying the highest exponent prime factors to calculate the LCM of 88831 and 88846.

LCM(88831,88846) = 2111 × 4211 × 21 × 311 × 14331
LCM(88831,88846) = 7892279026