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What is the Least Common Multiple of 88831 and 88841?

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 88841 is 7891834871.

LCM(88831,88841) = 7891834871

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Least Common Multiple of 88831 and 88841 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 88841, than apply into the LCM equation.

GCF(88831,88841) = 1
LCM(88831,88841) = ( 88831 × 88841) / 1
LCM(88831,88841) = 7891834871 / 1
LCM(88831,88841) = 7891834871

Least Common Multiple (LCM) of 88831 and 88841 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88831 and 88841. First we will calculate the prime factors of 88831 and 88841.

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 88841

Prime factors of 88841 are 73, 1217. Prime factorization of 88841 in exponential form is:

88841 = 731 × 12171

Now multiplying the highest exponent prime factors to calculate the LCM of 88831 and 88841.

LCM(88831,88841) = 2111 × 4211 × 731 × 12171
LCM(88831,88841) = 7891834871