What is the Least Common Multiple of 33766 and 33771?
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 33766 and 33771 is 1140311586.
LCM(33766,33771) = 1140311586
Least Common Multiple of 33766 and 33771 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 33766 and 33771, than apply into the LCM equation.
GCF(33766,33771) = 1
LCM(33766,33771) = ( 33766 × 33771) / 1
LCM(33766,33771) = 1140311586 / 1
LCM(33766,33771) = 1140311586
Least Common Multiple (LCM) of 33766 and 33771 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 33766 and 33771. First we will calculate the prime factors of 33766 and 33771.
Prime Factorization of 33766
Prime factors of 33766 are 2, 16883. Prime factorization of 33766 in exponential form is:
33766 = 21 × 168831
Prime Factorization of 33771
Prime factors of 33771 are 3, 11257. Prime factorization of 33771 in exponential form is:
33771 = 31 × 112571
Now multiplying the highest exponent prime factors to calculate the LCM of 33766 and 33771.
LCM(33766,33771) = 21 × 168831 × 31 × 112571
LCM(33766,33771) = 1140311586
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