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What is the Least Common Multiple of 11692 and 11700?

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 11700 is 34199100.

LCM(11692,11700) = 34199100

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Least Common Multiple of 11692 and 11700 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 11700, than apply into the LCM equation.

GCF(11692,11700) = 4
LCM(11692,11700) = ( 11692 × 11700) / 4
LCM(11692,11700) = 136796400 / 4
LCM(11692,11700) = 34199100

Least Common Multiple (LCM) of 11692 and 11700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 11692 and 11700. First we will calculate the prime factors of 11692 and 11700.

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 11700

Prime factors of 11700 are 2, 3, 5, 13. Prime factorization of 11700 in exponential form is:

11700 = 22 × 32 × 52 × 131

Now multiplying the highest exponent prime factors to calculate the LCM of 11692 and 11700.

LCM(11692,11700) = 22 × 371 × 791 × 32 × 52 × 131
LCM(11692,11700) = 34199100