What is the Least Common Multiple of 1045 and 1057?
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 1057 is 1104565.
LCM(1045,1057) = 1104565
Least Common Multiple of 1045 and 1057 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 1057, than apply into the LCM equation.
GCF(1045,1057) = 1
LCM(1045,1057) = ( 1045 × 1057) / 1
LCM(1045,1057) = 1104565 / 1
LCM(1045,1057) = 1104565
Least Common Multiple (LCM) of 1045 and 1057 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1045 and 1057. First we will calculate the prime factors of 1045 and 1057.
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 1057
Prime factors of 1057 are 7, 151. Prime factorization of 1057 in exponential form is:
1057 = 71 × 1511
Now multiplying the highest exponent prime factors to calculate the LCM of 1045 and 1057.
LCM(1045,1057) = 51 × 111 × 191 × 71 × 1511
LCM(1045,1057) = 1104565
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