What is the Least Common Multiple of 1071 and 1075?
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 1071 and 1075 is 1151325.
LCM(1071,1075) = 1151325
Least Common Multiple of 1071 and 1075 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1071 and 1075, than apply into the LCM equation.
GCF(1071,1075) = 1
LCM(1071,1075) = ( 1071 × 1075) / 1
LCM(1071,1075) = 1151325 / 1
LCM(1071,1075) = 1151325
Least Common Multiple (LCM) of 1071 and 1075 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1071 and 1075. First we will calculate the prime factors of 1071 and 1075.
Prime Factorization of 1071
Prime factors of 1071 are 3, 7, 17. Prime factorization of 1071 in exponential form is:
1071 = 32 × 71 × 171
Prime Factorization of 1075
Prime factors of 1075 are 5, 43. Prime factorization of 1075 in exponential form is:
1075 = 52 × 431
Now multiplying the highest exponent prime factors to calculate the LCM of 1071 and 1075.
LCM(1071,1075) = 32 × 71 × 171 × 52 × 431
LCM(1071,1075) = 1151325
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