What is the Least Common Multiple of 1031 and 1042?
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 1031 and 1042 is 1074302.
LCM(1031,1042) = 1074302
Least Common Multiple of 1031 and 1042 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1031 and 1042, than apply into the LCM equation.
GCF(1031,1042) = 1
LCM(1031,1042) = ( 1031 × 1042) / 1
LCM(1031,1042) = 1074302 / 1
LCM(1031,1042) = 1074302
Least Common Multiple (LCM) of 1031 and 1042 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 1031 and 1042. First we will calculate the prime factors of 1031 and 1042.
Prime Factorization of 1031
Prime factors of 1031 are 1031. Prime factorization of 1031 in exponential form is:
1031 = 10311
Prime Factorization of 1042
Prime factors of 1042 are 2, 521. Prime factorization of 1042 in exponential form is:
1042 = 21 × 5211
Now multiplying the highest exponent prime factors to calculate the LCM of 1031 and 1042.
LCM(1031,1042) = 10311 × 21 × 5211
LCM(1031,1042) = 1074302
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