What is the Least Common Multiple of 1075 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 1075 and 1083 is 1164225.
LCM(1075,1083) = 1164225
Least Common Multiple of 1075 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 1075 and 1083, than apply into the LCM equation.
GCF(1075,1083) = 1
LCM(1075,1083) = ( 1075 × 1083) / 1
LCM(1075,1083) = 1164225 / 1
LCM(1075,1083) = 1164225
Least Common Multiple (LCM) of 1075 and 1083 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1075 and 1083. First we will calculate the prime factors of 1075 and 1083.
Prime Factorization of 1075
Prime factors of 1075 are 5, 43. Prime factorization of 1075 in exponential form is:
1075 = 52 × 431
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 1075 and 1083.
LCM(1075,1083) = 52 × 431 × 31 × 192
LCM(1075,1083) = 1164225
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