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What is the Least Common Multiple of 88963 and 88971?

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 88963 and 88971 is 7915127073.

LCM(88963,88971) = 7915127073

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Least Common Multiple of 88963 and 88971 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88963 and 88971, than apply into the LCM equation.

GCF(88963,88971) = 1
LCM(88963,88971) = ( 88963 × 88971) / 1
LCM(88963,88971) = 7915127073 / 1
LCM(88963,88971) = 7915127073

Least Common Multiple (LCM) of 88963 and 88971 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88963 and 88971. First we will calculate the prime factors of 88963 and 88971.

Prime Factorization of 88963

Prime factors of 88963 are 7, 71, 179. Prime factorization of 88963 in exponential form is:

88963 = 71 × 711 × 1791

Prime Factorization of 88971

Prime factors of 88971 are 3, 47, 631. Prime factorization of 88971 in exponential form is:

88971 = 31 × 471 × 6311

Now multiplying the highest exponent prime factors to calculate the LCM of 88963 and 88971.

LCM(88963,88971) = 71 × 711 × 1791 × 31 × 471 × 6311
LCM(88963,88971) = 7915127073