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What is the Least Common Multiple of 88409 and 88427?

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 88409 and 88427 is 7817742643.

LCM(88409,88427) = 7817742643

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Least Common Multiple of 88409 and 88427 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88409 and 88427, than apply into the LCM equation.

GCF(88409,88427) = 1
LCM(88409,88427) = ( 88409 × 88427) / 1
LCM(88409,88427) = 7817742643 / 1
LCM(88409,88427) = 7817742643

Least Common Multiple (LCM) of 88409 and 88427 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88409 and 88427. First we will calculate the prime factors of 88409 and 88427.

Prime Factorization of 88409

Prime factors of 88409 are 211, 419. Prime factorization of 88409 in exponential form is:

88409 = 2111 × 4191

Prime Factorization of 88427

Prime factors of 88427 are 88427. Prime factorization of 88427 in exponential form is:

88427 = 884271

Now multiplying the highest exponent prime factors to calculate the LCM of 88409 and 88427.

LCM(88409,88427) = 2111 × 4191 × 884271
LCM(88409,88427) = 7817742643