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What is the Least Common Multiple of 11692 and 11704?

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 11692 and 11704 is 34210792.

LCM(11692,11704) = 34210792

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Least Common Multiple of 11692 and 11704 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 11692 and 11704, than apply into the LCM equation.

GCF(11692,11704) = 4
LCM(11692,11704) = ( 11692 × 11704) / 4
LCM(11692,11704) = 136843168 / 4
LCM(11692,11704) = 34210792

Least Common Multiple (LCM) of 11692 and 11704 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11692 and 11704. First we will calculate the prime factors of 11692 and 11704.

Prime Factorization of 11692

Prime factors of 11692 are 2, 37, 79. Prime factorization of 11692 in exponential form is:

11692 = 22 × 371 × 791

Prime Factorization of 11704

Prime factors of 11704 are 2, 7, 11, 19. Prime factorization of 11704 in exponential form is:

11704 = 23 × 71 × 111 × 191

Now multiplying the highest exponent prime factors to calculate the LCM of 11692 and 11704.

LCM(11692,11704) = 23 × 371 × 791 × 71 × 111 × 191
LCM(11692,11704) = 34210792