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What is the Least Common Multiple of 88055 and 88059?

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 88055 and 88059 is 7754035245.

LCM(88055,88059) = 7754035245

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Least Common Multiple of 88055 and 88059 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88055 and 88059, than apply into the LCM equation.

GCF(88055,88059) = 1
LCM(88055,88059) = ( 88055 × 88059) / 1
LCM(88055,88059) = 7754035245 / 1
LCM(88055,88059) = 7754035245

Least Common Multiple (LCM) of 88055 and 88059 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88055 and 88059. First we will calculate the prime factors of 88055 and 88059.

Prime Factorization of 88055

Prime factors of 88055 are 5, 11, 1601. Prime factorization of 88055 in exponential form is:

88055 = 51 × 111 × 16011

Prime Factorization of 88059

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

88059 = 31 × 1491 × 1971

Now multiplying the highest exponent prime factors to calculate the LCM of 88055 and 88059.

LCM(88055,88059) = 51 × 111 × 16011 × 31 × 1491 × 1971
LCM(88055,88059) = 7754035245