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What is the Least Common Multiple of 11686 and 11690?

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 11686 and 11690 is 68304670.

LCM(11686,11690) = 68304670

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Least Common Multiple of 11686 and 11690 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11686 and 11690, than apply into the LCM equation.

GCF(11686,11690) = 2
LCM(11686,11690) = ( 11686 × 11690) / 2
LCM(11686,11690) = 136609340 / 2
LCM(11686,11690) = 68304670

Least Common Multiple (LCM) of 11686 and 11690 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11686 and 11690. First we will calculate the prime factors of 11686 and 11690.

Prime Factorization of 11686

Prime factors of 11686 are 2, 5843. Prime factorization of 11686 in exponential form is:

11686 = 21 × 58431

Prime Factorization of 11690

Prime factors of 11690 are 2, 5, 7, 167. Prime factorization of 11690 in exponential form is:

11690 = 21 × 51 × 71 × 1671

Now multiplying the highest exponent prime factors to calculate the LCM of 11686 and 11690.

LCM(11686,11690) = 21 × 58431 × 51 × 71 × 1671
LCM(11686,11690) = 68304670