What is the Least Common Multiple of 1054 and 1064?

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 1064 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 1064, than apply into the LCM equation.

GCF(1054,1064) = 2
LCM(1054,1064) = ( 1054 × 1064) / 2
LCM(1054,1064) = 1121456 / 2
LCM(1054,1064) = 560728

Least Common Multiple (LCM) of 1054 and 1064 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1054 and 1064. First we will calculate the prime factors of 1054 and 1064.

Prime Factorization of 1054

Prime Factorization of 1064

Now multiplying the highest exponent prime factors to calculate the LCM of 1054 and 1064.

LCM(1054,1064) = 2³ × 17¹ × 31¹ × 7¹ × 19¹
LCM(1054,1064) = 560728