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What is the Least Common Multiple of 11715 and 11730?

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 11715 and 11730 is 9161130.

LCM(11715,11730) = 9161130

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Least Common Multiple of 11715 and 11730 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11715 and 11730, than apply into the LCM equation.

GCF(11715,11730) = 15
LCM(11715,11730) = ( 11715 × 11730) / 15
LCM(11715,11730) = 137416950 / 15
LCM(11715,11730) = 9161130

Least Common Multiple (LCM) of 11715 and 11730 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11715 and 11730. First we will calculate the prime factors of 11715 and 11730.

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

Prime Factorization of 11730

Prime factors of 11730 are 2, 3, 5, 17, 23. Prime factorization of 11730 in exponential form is:

11730 = 21 × 31 × 51 × 171 × 231

Now multiplying the highest exponent prime factors to calculate the LCM of 11715 and 11730.

LCM(11715,11730) = 31 × 51 × 111 × 711 × 21 × 171 × 231
LCM(11715,11730) = 9161130