What is the Least Common Multiple of 57779 and 57796?
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 57779 and 57796 is 3339395084.
LCM(57779,57796) = 3339395084
Least Common Multiple of 57779 and 57796 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57779 and 57796, than apply into the LCM equation.
GCF(57779,57796) = 1
LCM(57779,57796) = ( 57779 × 57796) / 1
LCM(57779,57796) = 3339395084 / 1
LCM(57779,57796) = 3339395084
Least Common Multiple (LCM) of 57779 and 57796 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57779 and 57796. First we will calculate the prime factors of 57779 and 57796.
Prime Factorization of 57779
Prime factors of 57779 are 19, 3041. Prime factorization of 57779 in exponential form is:
57779 = 191 × 30411
Prime Factorization of 57796
Prime factors of 57796 are 2, 14449. Prime factorization of 57796 in exponential form is:
57796 = 22 × 144491
Now multiplying the highest exponent prime factors to calculate the LCM of 57779 and 57796.
LCM(57779,57796) = 191 × 30411 × 22 × 144491
LCM(57779,57796) = 3339395084
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