What is the Least Common Multiple of 57777 and 57793?
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 57777 and 57793 is 3339106161.
LCM(57777,57793) = 3339106161
Least Common Multiple of 57777 and 57793 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 57777 and 57793, than apply into the LCM equation.
GCF(57777,57793) = 1
LCM(57777,57793) = ( 57777 × 57793) / 1
LCM(57777,57793) = 3339106161 / 1
LCM(57777,57793) = 3339106161
Least Common Multiple (LCM) of 57777 and 57793 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 57777 and 57793. First we will calculate the prime factors of 57777 and 57793.
Prime Factorization of 57777
Prime factors of 57777 are 3, 19259. Prime factorization of 57777 in exponential form is:
57777 = 31 × 192591
Prime Factorization of 57793
Prime factors of 57793 are 57793. Prime factorization of 57793 in exponential form is:
57793 = 577931
Now multiplying the highest exponent prime factors to calculate the LCM of 57777 and 57793.
LCM(57777,57793) = 31 × 192591 × 577931
LCM(57777,57793) = 3339106161
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