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What is the Least Common Multiple of 88059 and 88067?

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 88059 and 88067 is 7755091953.

LCM(88059,88067) = 7755091953

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Least Common Multiple of 88059 and 88067 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88059 and 88067, than apply into the LCM equation.

GCF(88059,88067) = 1
LCM(88059,88067) = ( 88059 × 88067) / 1
LCM(88059,88067) = 7755091953 / 1
LCM(88059,88067) = 7755091953

Least Common Multiple (LCM) of 88059 and 88067 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88059 and 88067. First we will calculate the prime factors of 88059 and 88067.

Prime Factorization of 88059

Prime factors of 88059 are 3, 149, 197. Prime factorization of 88059 in exponential form is:

88059 = 31 × 1491 × 1971

Prime Factorization of 88067

Prime factors of 88067 are 7, 23, 547. Prime factorization of 88067 in exponential form is:

88067 = 71 × 231 × 5471

Now multiplying the highest exponent prime factors to calculate the LCM of 88059 and 88067.

LCM(88059,88067) = 31 × 1491 × 1971 × 71 × 231 × 5471
LCM(88059,88067) = 7755091953