What is the Least Common Multiple of 1023 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 of 1023 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 1023 and 1042, than apply into the LCM equation.

GCF(1023,1042) = 1
LCM(1023,1042) = ( 1023 × 1042) / 1
LCM(1023,1042) = 1065966 / 1
LCM(1023,1042) = 1065966

Least Common Multiple (LCM) of 1023 and 1042 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1023 and 1042. First we will calculate the prime factors of 1023 and 1042.

Prime Factorization of 1023

Prime Factorization of 1042

Now multiplying the highest exponent prime factors to calculate the LCM of 1023 and 1042.

LCM(1023,1042) = 3¹ × 11¹ × 31¹ × 2¹ × 521¹
LCM(1023,1042) = 1065966