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What is the Least Common Multiple of 88691 and 88711?

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 88691 and 88711 is 7867867301.

LCM(88691,88711) = 7867867301

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Least Common Multiple of 88691 and 88711 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88691 and 88711, than apply into the LCM equation.

GCF(88691,88711) = 1
LCM(88691,88711) = ( 88691 × 88711) / 1
LCM(88691,88711) = 7867867301 / 1
LCM(88691,88711) = 7867867301

Least Common Multiple (LCM) of 88691 and 88711 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88691 and 88711. First we will calculate the prime factors of 88691 and 88711.

Prime Factorization of 88691

Prime factors of 88691 are 31, 2861. Prime factorization of 88691 in exponential form is:

88691 = 311 × 28611

Prime Factorization of 88711

Prime factors of 88711 are 7, 19, 23, 29. Prime factorization of 88711 in exponential form is:

88711 = 71 × 191 × 231 × 291

Now multiplying the highest exponent prime factors to calculate the LCM of 88691 and 88711.

LCM(88691,88711) = 311 × 28611 × 71 × 191 × 231 × 291
LCM(88691,88711) = 7867867301