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What is the Least Common Multiple of 88027 and 88043?

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 88027 and 88043 is 7750161161.

LCM(88027,88043) = 7750161161

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Least Common Multiple of 88027 and 88043 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88027 and 88043, than apply into the LCM equation.

GCF(88027,88043) = 1
LCM(88027,88043) = ( 88027 × 88043) / 1
LCM(88027,88043) = 7750161161 / 1
LCM(88027,88043) = 7750161161

Least Common Multiple (LCM) of 88027 and 88043 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88027 and 88043. First we will calculate the prime factors of 88027 and 88043.

Prime Factorization of 88027

Prime factors of 88027 are 19, 41, 113. Prime factorization of 88027 in exponential form is:

88027 = 191 × 411 × 1131

Prime Factorization of 88043

Prime factors of 88043 are 17, 5179. Prime factorization of 88043 in exponential form is:

88043 = 171 × 51791

Now multiplying the highest exponent prime factors to calculate the LCM of 88027 and 88043.

LCM(88027,88043) = 191 × 411 × 1131 × 171 × 51791
LCM(88027,88043) = 7750161161