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What is the Least Common Multiple of 88337 and 88341?

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 88337 and 88341 is 7803778917.

LCM(88337,88341) = 7803778917

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Least Common Multiple of 88337 and 88341 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88337 and 88341, than apply into the LCM equation.

GCF(88337,88341) = 1
LCM(88337,88341) = ( 88337 × 88341) / 1
LCM(88337,88341) = 7803778917 / 1
LCM(88337,88341) = 7803778917

Least Common Multiple (LCM) of 88337 and 88341 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88337 and 88341. First we will calculate the prime factors of 88337 and 88341.

Prime Factorization of 88337

Prime factors of 88337 are 88337. Prime factorization of 88337 in exponential form is:

88337 = 883371

Prime Factorization of 88341

Prime factors of 88341 are 3, 11, 2677. Prime factorization of 88341 in exponential form is:

88341 = 31 × 111 × 26771

Now multiplying the highest exponent prime factors to calculate the LCM of 88337 and 88341.

LCM(88337,88341) = 883371 × 31 × 111 × 26771
LCM(88337,88341) = 7803778917