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What is the Least Common Multiple of 88502 and 88507?

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 88502 and 88507 is 7833046514.

LCM(88502,88507) = 7833046514

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Least Common Multiple of 88502 and 88507 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88502 and 88507, than apply into the LCM equation.

GCF(88502,88507) = 1
LCM(88502,88507) = ( 88502 × 88507) / 1
LCM(88502,88507) = 7833046514 / 1
LCM(88502,88507) = 7833046514

Least Common Multiple (LCM) of 88502 and 88507 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88502 and 88507. First we will calculate the prime factors of 88502 and 88507.

Prime Factorization of 88502

Prime factors of 88502 are 2, 17, 19, 137. Prime factorization of 88502 in exponential form is:

88502 = 21 × 171 × 191 × 1371

Prime Factorization of 88507

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

88507 = 671 × 13211

Now multiplying the highest exponent prime factors to calculate the LCM of 88502 and 88507.

LCM(88502,88507) = 21 × 171 × 191 × 1371 × 671 × 13211
LCM(88502,88507) = 7833046514