What is the Least Common Multiple of 1077 and 1083?
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 1077 and 1083 is 388797.
LCM(1077,1083) = 388797
Least Common Multiple of 1077 and 1083 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1077 and 1083, than apply into the LCM equation.
GCF(1077,1083) = 3
LCM(1077,1083) = ( 1077 × 1083) / 3
LCM(1077,1083) = 1166391 / 3
LCM(1077,1083) = 388797
Least Common Multiple (LCM) of 1077 and 1083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1077 and 1083. First we will calculate the prime factors of 1077 and 1083.
Prime Factorization of 1077
Prime factors of 1077 are 3, 359. Prime factorization of 1077 in exponential form is:
1077 = 31 × 3591
Prime Factorization of 1083
Prime factors of 1083 are 3, 19. Prime factorization of 1083 in exponential form is:
1083 = 31 × 192
Now multiplying the highest exponent prime factors to calculate the LCM of 1077 and 1083.
LCM(1077,1083) = 31 × 3591 × 192
LCM(1077,1083) = 388797
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