What is the Least Common Multiple of 22847 and 22866?
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 22847 and 22866 is 522419502.
LCM(22847,22866) = 522419502
Least Common Multiple of 22847 and 22866 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 22847 and 22866, than apply into the LCM equation.
GCF(22847,22866) = 1
LCM(22847,22866) = ( 22847 × 22866) / 1
LCM(22847,22866) = 522419502 / 1
LCM(22847,22866) = 522419502
Least Common Multiple (LCM) of 22847 and 22866 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 22847 and 22866. First we will calculate the prime factors of 22847 and 22866.
Prime Factorization of 22847
Prime factors of 22847 are 11, 31, 67. Prime factorization of 22847 in exponential form is:
22847 = 111 × 311 × 671
Prime Factorization of 22866
Prime factors of 22866 are 2, 3, 37, 103. Prime factorization of 22866 in exponential form is:
22866 = 21 × 31 × 371 × 1031
Now multiplying the highest exponent prime factors to calculate the LCM of 22847 and 22866.
LCM(22847,22866) = 111 × 311 × 671 × 21 × 31 × 371 × 1031
LCM(22847,22866) = 522419502
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