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What is the Least Common Multiple of 88697 and 88708?

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 88708 is 7868133476.

LCM(88697,88708) = 7868133476

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Least Common Multiple of 88697 and 88708 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 88708, than apply into the LCM equation.

GCF(88697,88708) = 1
LCM(88697,88708) = ( 88697 × 88708) / 1
LCM(88697,88708) = 7868133476 / 1
LCM(88697,88708) = 7868133476

Least Common Multiple (LCM) of 88697 and 88708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88697 and 88708. First we will calculate the prime factors of 88697 and 88708.

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 88708

Prime factors of 88708 are 2, 67, 331. Prime factorization of 88708 in exponential form is:

88708 = 22 × 671 × 3311

Now multiplying the highest exponent prime factors to calculate the LCM of 88697 and 88708.

LCM(88697,88708) = 71 × 126711 × 22 × 671 × 3311
LCM(88697,88708) = 7868133476