What is the Least Common Multiple of 1073 and 1092?
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 1073 and 1092 is 1171716.
LCM(1073,1092) = 1171716
Least Common Multiple of 1073 and 1092 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1073 and 1092, than apply into the LCM equation.
GCF(1073,1092) = 1
LCM(1073,1092) = ( 1073 × 1092) / 1
LCM(1073,1092) = 1171716 / 1
LCM(1073,1092) = 1171716
Least Common Multiple (LCM) of 1073 and 1092 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1073 and 1092. First we will calculate the prime factors of 1073 and 1092.
Prime Factorization of 1073
Prime factors of 1073 are 29, 37. Prime factorization of 1073 in exponential form is:
1073 = 291 × 371
Prime Factorization of 1092
Prime factors of 1092 are 2, 3, 7, 13. Prime factorization of 1092 in exponential form is:
1092 = 22 × 31 × 71 × 131
Now multiplying the highest exponent prime factors to calculate the LCM of 1073 and 1092.
LCM(1073,1092) = 291 × 371 × 22 × 31 × 71 × 131
LCM(1073,1092) = 1171716
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