What is the Least Common Multiple of 66866 and 66886?
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 66866 and 66886 is 2236199638.
LCM(66866,66886) = 2236199638
Least Common Multiple of 66866 and 66886 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 66866 and 66886, than apply into the LCM equation.
GCF(66866,66886) = 2
LCM(66866,66886) = ( 66866 × 66886) / 2
LCM(66866,66886) = 4472399276 / 2
LCM(66866,66886) = 2236199638
Least Common Multiple (LCM) of 66866 and 66886 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 66866 and 66886. First we will calculate the prime factors of 66866 and 66886.
Prime Factorization of 66866
Prime factors of 66866 are 2, 67, 499. Prime factorization of 66866 in exponential form is:
66866 = 21 × 671 × 4991
Prime Factorization of 66886
Prime factors of 66886 are 2, 53, 631. Prime factorization of 66886 in exponential form is:
66886 = 21 × 531 × 6311
Now multiplying the highest exponent prime factors to calculate the LCM of 66866 and 66886.
LCM(66866,66886) = 21 × 671 × 4991 × 531 × 6311
LCM(66866,66886) = 2236199638
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