What is the Least Common Multiple of 1065 and 1073?
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 1065 and 1073 is 1142745.
LCM(1065,1073) = 1142745
Least Common Multiple of 1065 and 1073 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1065 and 1073, than apply into the LCM equation.
GCF(1065,1073) = 1
LCM(1065,1073) = ( 1065 × 1073) / 1
LCM(1065,1073) = 1142745 / 1
LCM(1065,1073) = 1142745
Least Common Multiple (LCM) of 1065 and 1073 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1065 and 1073. First we will calculate the prime factors of 1065 and 1073.
Prime Factorization of 1065
Prime factors of 1065 are 3, 5, 71. Prime factorization of 1065 in exponential form is:
1065 = 31 × 51 × 711
Prime Factorization of 1073
Prime factors of 1073 are 29, 37. Prime factorization of 1073 in exponential form is:
1073 = 291 × 371
Now multiplying the highest exponent prime factors to calculate the LCM of 1065 and 1073.
LCM(1065,1073) = 31 × 51 × 711 × 291 × 371
LCM(1065,1073) = 1142745
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