What is the Least Common Multiple of 1028 and 1048?

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 1028 and 1048 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1028 and 1048, than apply into the LCM equation.

GCF(1028,1048) = 4
LCM(1028,1048) = ( 1028 × 1048) / 4
LCM(1028,1048) = 1077344 / 4
LCM(1028,1048) = 269336

Least Common Multiple (LCM) of 1028 and 1048 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1028 and 1048. First we will calculate the prime factors of 1028 and 1048.

Prime Factorization of 1028

Prime Factorization of 1048

Now multiplying the highest exponent prime factors to calculate the LCM of 1028 and 1048.

LCM(1028,1048) = 2³ × 257¹ × 131¹
LCM(1028,1048) = 269336