What is the Least Common Multiple of 1039 and 1046?
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 1039 and 1046 is 1086794.
LCM(1039,1046) = 1086794
Least Common Multiple of 1039 and 1046 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1039 and 1046, than apply into the LCM equation.
GCF(1039,1046) = 1
LCM(1039,1046) = ( 1039 × 1046) / 1
LCM(1039,1046) = 1086794 / 1
LCM(1039,1046) = 1086794
Least Common Multiple (LCM) of 1039 and 1046 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1039 and 1046. First we will calculate the prime factors of 1039 and 1046.
Prime Factorization of 1039
Prime factors of 1039 are 1039. Prime factorization of 1039 in exponential form is:
1039 = 10391
Prime Factorization of 1046
Prime factors of 1046 are 2, 523. Prime factorization of 1046 in exponential form is:
1046 = 21 × 5231
Now multiplying the highest exponent prime factors to calculate the LCM of 1039 and 1046.
LCM(1039,1046) = 10391 × 21 × 5231
LCM(1039,1046) = 1086794
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