What is the Least Common Multiple of 17692 and 17696?
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 17696 is 78269408.
LCM(17692,17696) = 78269408
Least Common Multiple of 17692 and 17696 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 17696, than apply into the LCM equation.
GCF(17692,17696) = 4
LCM(17692,17696) = ( 17692 × 17696) / 4
LCM(17692,17696) = 313077632 / 4
LCM(17692,17696) = 78269408
Least Common Multiple (LCM) of 17692 and 17696 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 17692 and 17696. First we will calculate the prime factors of 17692 and 17696.
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 17696
Prime factors of 17696 are 2, 7, 79. Prime factorization of 17696 in exponential form is:
17696 = 25 × 71 × 791
Now multiplying the highest exponent prime factors to calculate the LCM of 17692 and 17696.
LCM(17692,17696) = 25 × 44231 × 71 × 791
LCM(17692,17696) = 78269408
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