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What is the Least Common Multiple of 11690 and 11708?

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 11690 and 11708 is 68433260.

LCM(11690,11708) = 68433260

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Least Common Multiple of 11690 and 11708 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11690 and 11708, than apply into the LCM equation.

GCF(11690,11708) = 2
LCM(11690,11708) = ( 11690 × 11708) / 2
LCM(11690,11708) = 136866520 / 2
LCM(11690,11708) = 68433260

Least Common Multiple (LCM) of 11690 and 11708 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11690 and 11708. First we will calculate the prime factors of 11690 and 11708.

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

Prime Factorization of 11708

Prime factors of 11708 are 2, 2927. Prime factorization of 11708 in exponential form is:

11708 = 22 × 29271

Now multiplying the highest exponent prime factors to calculate the LCM of 11690 and 11708.

LCM(11690,11708) = 22 × 51 × 71 × 1671 × 29271
LCM(11690,11708) = 68433260