What is the Least Common Multiple of 1054 and 1061?

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 1054 and 1061 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1054 and 1061, than apply into the LCM equation.

GCF(1054,1061) = 1
LCM(1054,1061) = ( 1054 × 1061) / 1
LCM(1054,1061) = 1118294 / 1
LCM(1054,1061) = 1118294

Least Common Multiple (LCM) of 1054 and 1061 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1061. First we will calculate the prime factors of 1054 and 1061.

Prime Factorization of 1054

Prime Factorization of 1061

Now multiplying the highest exponent prime factors to calculate the LCM of 1054 and 1061.

LCM(1054,1061) = 2¹ × 17¹ × 31¹ × 1061¹
LCM(1054,1061) = 1118294