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What is the Least Common Multiple of 88697 and 88717?

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 88697 and 88717 is 7868931749.

LCM(88697,88717) = 7868931749

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Least Common Multiple of 88697 and 88717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88697 and 88717, than apply into the LCM equation.

GCF(88697,88717) = 1
LCM(88697,88717) = ( 88697 × 88717) / 1
LCM(88697,88717) = 7868931749 / 1
LCM(88697,88717) = 7868931749

Least Common Multiple (LCM) of 88697 and 88717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88697 and 88717. First we will calculate the prime factors of 88697 and 88717.

Prime Factorization of 88697

Prime factors of 88697 are 7, 12671. Prime factorization of 88697 in exponential form is:

88697 = 71 × 126711

Prime Factorization of 88717

Prime factors of 88717 are 79, 1123. Prime factorization of 88717 in exponential form is:

88717 = 791 × 11231

Now multiplying the highest exponent prime factors to calculate the LCM of 88697 and 88717.

LCM(88697,88717) = 71 × 126711 × 791 × 11231
LCM(88697,88717) = 7868931749