What is the Least Common Multiple of 1045 and 1061?
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 1045 and 1061 is 1108745.
LCM(1045,1061) = 1108745
Least Common Multiple of 1045 and 1061 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1045 and 1061, than apply into the LCM equation.
GCF(1045,1061) = 1
LCM(1045,1061) = ( 1045 × 1061) / 1
LCM(1045,1061) = 1108745 / 1
LCM(1045,1061) = 1108745
Least Common Multiple (LCM) of 1045 and 1061 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1045 and 1061. First we will calculate the prime factors of 1045 and 1061.
Prime Factorization of 1045
Prime factors of 1045 are 5, 11, 19. Prime factorization of 1045 in exponential form is:
1045 = 51 × 111 × 191
Prime Factorization of 1061
Prime factors of 1061 are 1061. Prime factorization of 1061 in exponential form is:
1061 = 10611
Now multiplying the highest exponent prime factors to calculate the LCM of 1045 and 1061.
LCM(1045,1061) = 51 × 111 × 191 × 10611
LCM(1045,1061) = 1108745
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