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What is the Least Common Multiple of 11716 and 11725?

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 11716 and 11725 is 137370100.

LCM(11716,11725) = 137370100

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Least Common Multiple of 11716 and 11725 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11716 and 11725, than apply into the LCM equation.

GCF(11716,11725) = 1
LCM(11716,11725) = ( 11716 × 11725) / 1
LCM(11716,11725) = 137370100 / 1
LCM(11716,11725) = 137370100

Least Common Multiple (LCM) of 11716 and 11725 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11716 and 11725. First we will calculate the prime factors of 11716 and 11725.

Prime Factorization of 11716

Prime factors of 11716 are 2, 29, 101. Prime factorization of 11716 in exponential form is:

11716 = 22 × 291 × 1011

Prime Factorization of 11725

Prime factors of 11725 are 5, 7, 67. Prime factorization of 11725 in exponential form is:

11725 = 52 × 71 × 671

Now multiplying the highest exponent prime factors to calculate the LCM of 11716 and 11725.

LCM(11716,11725) = 22 × 291 × 1011 × 52 × 71 × 671
LCM(11716,11725) = 137370100