What is the Least Common Multiple of 3866 and 3880?
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 3866 and 3880 is 7500040.
LCM(3866,3880) = 7500040
Least Common Multiple of 3866 and 3880 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 3866 and 3880, than apply into the LCM equation.
GCF(3866,3880) = 2
LCM(3866,3880) = ( 3866 × 3880) / 2
LCM(3866,3880) = 15000080 / 2
LCM(3866,3880) = 7500040
Least Common Multiple (LCM) of 3866 and 3880 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 3866 and 3880. First we will calculate the prime factors of 3866 and 3880.
Prime Factorization of 3866
Prime factors of 3866 are 2, 1933. Prime factorization of 3866 in exponential form is:
3866 = 21 × 19331
Prime Factorization of 3880
Prime factors of 3880 are 2, 5, 97. Prime factorization of 3880 in exponential form is:
3880 = 23 × 51 × 971
Now multiplying the highest exponent prime factors to calculate the LCM of 3866 and 3880.
LCM(3866,3880) = 23 × 19331 × 51 × 971
LCM(3866,3880) = 7500040
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