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What is the Least Common Multiple of 88163 and 88179?

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 88163 and 88179 is 7774125177.

LCM(88163,88179) = 7774125177

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Least Common Multiple of 88163 and 88179 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88163 and 88179, than apply into the LCM equation.

GCF(88163,88179) = 1
LCM(88163,88179) = ( 88163 × 88179) / 1
LCM(88163,88179) = 7774125177 / 1
LCM(88163,88179) = 7774125177

Least Common Multiple (LCM) of 88163 and 88179 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88163 and 88179. First we will calculate the prime factors of 88163 and 88179.

Prime Factorization of 88163

Prime factors of 88163 are 131, 673. Prime factorization of 88163 in exponential form is:

88163 = 1311 × 6731

Prime Factorization of 88179

Prime factors of 88179 are 3, 7, 13, 17, 19. Prime factorization of 88179 in exponential form is:

88179 = 31 × 71 × 131 × 171 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 88163 and 88179.

LCM(88163,88179) = 1311 × 6731 × 31 × 71 × 131 × 171 × 191
LCM(88163,88179) = 7774125177