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What is the Least Common Multiple of 88393 and 88411?

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 88393 and 88411 is 7814913523.

LCM(88393,88411) = 7814913523

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Least Common Multiple of 88393 and 88411 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88393 and 88411, than apply into the LCM equation.

GCF(88393,88411) = 1
LCM(88393,88411) = ( 88393 × 88411) / 1
LCM(88393,88411) = 7814913523 / 1
LCM(88393,88411) = 7814913523

Least Common Multiple (LCM) of 88393 and 88411 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88393 and 88411. First we will calculate the prime factors of 88393 and 88411.

Prime Factorization of 88393

Prime factors of 88393 are 37, 2389. Prime factorization of 88393 in exponential form is:

88393 = 371 × 23891

Prime Factorization of 88411

Prime factors of 88411 are 88411. Prime factorization of 88411 in exponential form is:

88411 = 884111

Now multiplying the highest exponent prime factors to calculate the LCM of 88393 and 88411.

LCM(88393,88411) = 371 × 23891 × 884111
LCM(88393,88411) = 7814913523