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What is the Least Common Multiple of 11697 and 11715?

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 11697 and 11715 is 45676785.

LCM(11697,11715) = 45676785

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Least Common Multiple of 11697 and 11715 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11697 and 11715, than apply into the LCM equation.

GCF(11697,11715) = 3
LCM(11697,11715) = ( 11697 × 11715) / 3
LCM(11697,11715) = 137030355 / 3
LCM(11697,11715) = 45676785

Least Common Multiple (LCM) of 11697 and 11715 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11697 and 11715. First we will calculate the prime factors of 11697 and 11715.

Prime Factorization of 11697

Prime factors of 11697 are 3, 7, 557. Prime factorization of 11697 in exponential form is:

11697 = 31 × 71 × 5571

Prime Factorization of 11715

Prime factors of 11715 are 3, 5, 11, 71. Prime factorization of 11715 in exponential form is:

11715 = 31 × 51 × 111 × 711

Now multiplying the highest exponent prime factors to calculate the LCM of 11697 and 11715.

LCM(11697,11715) = 31 × 71 × 5571 × 51 × 111 × 711
LCM(11697,11715) = 45676785