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What is the Least Common Multiple of 88513 and 88522?

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 88513 and 88522 is 7835347786.

LCM(88513,88522) = 7835347786

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Least Common Multiple of 88513 and 88522 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88513 and 88522, than apply into the LCM equation.

GCF(88513,88522) = 1
LCM(88513,88522) = ( 88513 × 88522) / 1
LCM(88513,88522) = 7835347786 / 1
LCM(88513,88522) = 7835347786

Least Common Multiple (LCM) of 88513 and 88522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88513 and 88522. First we will calculate the prime factors of 88513 and 88522.

Prime Factorization of 88513

Prime factors of 88513 are 88513. Prime factorization of 88513 in exponential form is:

88513 = 885131

Prime Factorization of 88522

Prime factors of 88522 are 2, 7, 6323. Prime factorization of 88522 in exponential form is:

88522 = 21 × 71 × 63231

Now multiplying the highest exponent prime factors to calculate the LCM of 88513 and 88522.

LCM(88513,88522) = 885131 × 21 × 71 × 63231
LCM(88513,88522) = 7835347786