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What is the Least Common Multiple of 17692 and 17700?

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 17692 and 17700 is 78287100.

LCM(17692,17700) = 78287100

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Least Common Multiple of 17692 and 17700 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 17692 and 17700, than apply into the LCM equation.

GCF(17692,17700) = 4
LCM(17692,17700) = ( 17692 × 17700) / 4
LCM(17692,17700) = 313148400 / 4
LCM(17692,17700) = 78287100

Least Common Multiple (LCM) of 17692 and 17700 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 17692 and 17700. First we will calculate the prime factors of 17692 and 17700.

Prime Factorization of 17692

Prime factors of 17692 are 2, 4423. Prime factorization of 17692 in exponential form is:

17692 = 22 × 44231

Prime Factorization of 17700

Prime factors of 17700 are 2, 3, 5, 59. Prime factorization of 17700 in exponential form is:

17700 = 22 × 31 × 52 × 591

Now multiplying the highest exponent prime factors to calculate the LCM of 17692 and 17700.

LCM(17692,17700) = 22 × 44231 × 31 × 52 × 591
LCM(17692,17700) = 78287100