What is the Least Common Multiple of 1043 and 1055?
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 1043 and 1055 is 1100365.
LCM(1043,1055) = 1100365
Least Common Multiple of 1043 and 1055 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1043 and 1055, than apply into the LCM equation.
GCF(1043,1055) = 1
LCM(1043,1055) = ( 1043 × 1055) / 1
LCM(1043,1055) = 1100365 / 1
LCM(1043,1055) = 1100365
Least Common Multiple (LCM) of 1043 and 1055 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1043 and 1055. First we will calculate the prime factors of 1043 and 1055.
Prime Factorization of 1043
Prime factors of 1043 are 7, 149. Prime factorization of 1043 in exponential form is:
1043 = 71 × 1491
Prime Factorization of 1055
Prime factors of 1055 are 5, 211. Prime factorization of 1055 in exponential form is:
1055 = 51 × 2111
Now multiplying the highest exponent prime factors to calculate the LCM of 1043 and 1055.
LCM(1043,1055) = 71 × 1491 × 51 × 2111
LCM(1043,1055) = 1100365
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