What is the Least Common Multiple of 16861 and 16866?
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 16861 and 16866 is 284377626.
LCM(16861,16866) = 284377626
Least Common Multiple of 16861 and 16866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16861 and 16866, than apply into the LCM equation.
GCF(16861,16866) = 1
LCM(16861,16866) = ( 16861 × 16866) / 1
LCM(16861,16866) = 284377626 / 1
LCM(16861,16866) = 284377626
Least Common Multiple (LCM) of 16861 and 16866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 16861 and 16866. First we will calculate the prime factors of 16861 and 16866.
Prime Factorization of 16861
Prime factors of 16861 are 13, 1297. Prime factorization of 16861 in exponential form is:
16861 = 131 × 12971
Prime Factorization of 16866
Prime factors of 16866 are 2, 3, 937. Prime factorization of 16866 in exponential form is:
16866 = 21 × 32 × 9371
Now multiplying the highest exponent prime factors to calculate the LCM of 16861 and 16866.
LCM(16861,16866) = 131 × 12971 × 21 × 32 × 9371
LCM(16861,16866) = 284377626
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