What is the Least Common Multiple of 30773 and 30789?
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 30773 and 30789 is 947469897.
LCM(30773,30789) = 947469897
Least Common Multiple of 30773 and 30789 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 30773 and 30789, than apply into the LCM equation.
GCF(30773,30789) = 1
LCM(30773,30789) = ( 30773 × 30789) / 1
LCM(30773,30789) = 947469897 / 1
LCM(30773,30789) = 947469897
Least Common Multiple (LCM) of 30773 and 30789 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30773 and 30789. First we will calculate the prime factors of 30773 and 30789.
Prime Factorization of 30773
Prime factors of 30773 are 30773. Prime factorization of 30773 in exponential form is:
30773 = 307731
Prime Factorization of 30789
Prime factors of 30789 are 3, 11, 311. Prime factorization of 30789 in exponential form is:
30789 = 32 × 111 × 3111
Now multiplying the highest exponent prime factors to calculate the LCM of 30773 and 30789.
LCM(30773,30789) = 307731 × 32 × 111 × 3111
LCM(30773,30789) = 947469897
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