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What is the Least Common Multiple of 88507 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 88507 and 88522 is 7834816654.

LCM(88507,88522) = 7834816654

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Least Common Multiple of 88507 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 88507 and 88522, than apply into the LCM equation.

GCF(88507,88522) = 1
LCM(88507,88522) = ( 88507 × 88522) / 1
LCM(88507,88522) = 7834816654 / 1
LCM(88507,88522) = 7834816654

Least Common Multiple (LCM) of 88507 and 88522 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88507 and 88522. First we will calculate the prime factors of 88507 and 88522.

Prime Factorization of 88507

Prime factors of 88507 are 67, 1321. Prime factorization of 88507 in exponential form is:

88507 = 671 × 13211

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 88507 and 88522.

LCM(88507,88522) = 671 × 13211 × 21 × 71 × 63231
LCM(88507,88522) = 7834816654