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What is the Least Common Multiple of 88043 and 88051?

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 88043 and 88051 is 7752274193.

LCM(88043,88051) = 7752274193

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Least Common Multiple of 88043 and 88051 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88043 and 88051, than apply into the LCM equation.

GCF(88043,88051) = 1
LCM(88043,88051) = ( 88043 × 88051) / 1
LCM(88043,88051) = 7752274193 / 1
LCM(88043,88051) = 7752274193

Least Common Multiple (LCM) of 88043 and 88051 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88043 and 88051. First we will calculate the prime factors of 88043 and 88051.

Prime Factorization of 88043

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

88043 = 171 × 51791

Prime Factorization of 88051

Prime factors of 88051 are 191, 461. Prime factorization of 88051 in exponential form is:

88051 = 1911 × 4611

Now multiplying the highest exponent prime factors to calculate the LCM of 88043 and 88051.

LCM(88043,88051) = 171 × 51791 × 1911 × 4611
LCM(88043,88051) = 7752274193