What is the Least Common Multiple of 1789 and 1809?
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 1789 and 1809 is 3236301.
LCM(1789,1809) = 3236301
Least Common Multiple of 1789 and 1809 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1789 and 1809, than apply into the LCM equation.
GCF(1789,1809) = 1
LCM(1789,1809) = ( 1789 × 1809) / 1
LCM(1789,1809) = 3236301 / 1
LCM(1789,1809) = 3236301
Least Common Multiple (LCM) of 1789 and 1809 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1789 and 1809. First we will calculate the prime factors of 1789 and 1809.
Prime Factorization of 1789
Prime factors of 1789 are 1789. Prime factorization of 1789 in exponential form is:
1789 = 17891
Prime Factorization of 1809
Prime factors of 1809 are 3, 67. Prime factorization of 1809 in exponential form is:
1809 = 33 × 671
Now multiplying the highest exponent prime factors to calculate the LCM of 1789 and 1809.
LCM(1789,1809) = 17891 × 33 × 671
LCM(1789,1809) = 3236301
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