What is the Least Common Multiple of 30773 and 30779?
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 30779 is 947162167.
LCM(30773,30779) = 947162167
Least Common Multiple of 30773 and 30779 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 30779, than apply into the LCM equation.
GCF(30773,30779) = 1
LCM(30773,30779) = ( 30773 × 30779) / 1
LCM(30773,30779) = 947162167 / 1
LCM(30773,30779) = 947162167
Least Common Multiple (LCM) of 30773 and 30779 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 30773 and 30779. First we will calculate the prime factors of 30773 and 30779.
Prime Factorization of 30773
Prime factors of 30773 are 30773. Prime factorization of 30773 in exponential form is:
30773 = 307731
Prime Factorization of 30779
Prime factors of 30779 are 7, 4397. Prime factorization of 30779 in exponential form is:
30779 = 71 × 43971
Now multiplying the highest exponent prime factors to calculate the LCM of 30773 and 30779.
LCM(30773,30779) = 307731 × 71 × 43971
LCM(30773,30779) = 947162167
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