What is the Least Common Multiple of 1071 and 1084?
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 1084 is 1160964.
LCM(1071,1084) = 1160964
Least Common Multiple of 1071 and 1084 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 1084, than apply into the LCM equation.
GCF(1071,1084) = 1
LCM(1071,1084) = ( 1071 × 1084) / 1
LCM(1071,1084) = 1160964 / 1
LCM(1071,1084) = 1160964
Least Common Multiple (LCM) of 1071 and 1084 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1071 and 1084. First we will calculate the prime factors of 1071 and 1084.
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 1084
Prime factors of 1084 are 2, 271. Prime factorization of 1084 in exponential form is:
1084 = 22 × 2711
Now multiplying the highest exponent prime factors to calculate the LCM of 1071 and 1084.
LCM(1071,1084) = 32 × 71 × 171 × 22 × 2711
LCM(1071,1084) = 1160964
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