What is the Least Common Multiple of 1037 and 1045?
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 1037 and 1045 is 1083665.
LCM(1037,1045) = 1083665
Least Common Multiple of 1037 and 1045 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1037 and 1045, than apply into the LCM equation.
GCF(1037,1045) = 1
LCM(1037,1045) = ( 1037 × 1045) / 1
LCM(1037,1045) = 1083665 / 1
LCM(1037,1045) = 1083665
Least Common Multiple (LCM) of 1037 and 1045 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1037 and 1045. First we will calculate the prime factors of 1037 and 1045.
Prime Factorization of 1037
Prime factors of 1037 are 17, 61. Prime factorization of 1037 in exponential form is:
1037 = 171 × 611
Prime Factorization of 1045
Prime factors of 1045 are 5, 11, 19. Prime factorization of 1045 in exponential form is:
1045 = 51 × 111 × 191
Now multiplying the highest exponent prime factors to calculate the LCM of 1037 and 1045.
LCM(1037,1045) = 171 × 611 × 51 × 111 × 191
LCM(1037,1045) = 1083665
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