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What is the Least Common Multiple of 88358 and 88373?

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 88358 and 88373 is 7808461534.

LCM(88358,88373) = 7808461534

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Least Common Multiple of 88358 and 88373 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88358 and 88373, than apply into the LCM equation.

GCF(88358,88373) = 1
LCM(88358,88373) = ( 88358 × 88373) / 1
LCM(88358,88373) = 7808461534 / 1
LCM(88358,88373) = 7808461534

Least Common Multiple (LCM) of 88358 and 88373 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88358 and 88373. First we will calculate the prime factors of 88358 and 88373.

Prime Factorization of 88358

Prime factors of 88358 are 2, 44179. Prime factorization of 88358 in exponential form is:

88358 = 21 × 441791

Prime Factorization of 88373

Prime factors of 88373 are 67, 1319. Prime factorization of 88373 in exponential form is:

88373 = 671 × 13191

Now multiplying the highest exponent prime factors to calculate the LCM of 88358 and 88373.

LCM(88358,88373) = 21 × 441791 × 671 × 13191
LCM(88358,88373) = 7808461534