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What is the Least Common Multiple of 88754 and 88763?

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 88754 and 88763 is 7878071302.

LCM(88754,88763) = 7878071302

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Least Common Multiple of 88754 and 88763 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88754 and 88763, than apply into the LCM equation.

GCF(88754,88763) = 1
LCM(88754,88763) = ( 88754 × 88763) / 1
LCM(88754,88763) = 7878071302 / 1
LCM(88754,88763) = 7878071302

Least Common Multiple (LCM) of 88754 and 88763 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88754 and 88763. First we will calculate the prime factors of 88754 and 88763.

Prime Factorization of 88754

Prime factors of 88754 are 2, 199, 223. Prime factorization of 88754 in exponential form is:

88754 = 21 × 1991 × 2231

Prime Factorization of 88763

Prime factors of 88763 are 37, 2399. Prime factorization of 88763 in exponential form is:

88763 = 371 × 23991

Now multiplying the highest exponent prime factors to calculate the LCM of 88754 and 88763.

LCM(88754,88763) = 21 × 1991 × 2231 × 371 × 23991
LCM(88754,88763) = 7878071302