What is the Least Common Multiple of 21599 and 21606?
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 21599 and 21606 is 466667994.
LCM(21599,21606) = 466667994
Least Common Multiple of 21599 and 21606 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 21599 and 21606, than apply into the LCM equation.
GCF(21599,21606) = 1
LCM(21599,21606) = ( 21599 × 21606) / 1
LCM(21599,21606) = 466667994 / 1
LCM(21599,21606) = 466667994
Least Common Multiple (LCM) of 21599 and 21606 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 21599 and 21606. First we will calculate the prime factors of 21599 and 21606.
Prime Factorization of 21599
Prime factors of 21599 are 21599. Prime factorization of 21599 in exponential form is:
21599 = 215991
Prime Factorization of 21606
Prime factors of 21606 are 2, 3, 13, 277. Prime factorization of 21606 in exponential form is:
21606 = 21 × 31 × 131 × 2771
Now multiplying the highest exponent prime factors to calculate the LCM of 21599 and 21606.
LCM(21599,21606) = 215991 × 21 × 31 × 131 × 2771
LCM(21599,21606) = 466667994
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