GCF and LCM Calculator Logo

What is the Least Common Multiple of 1066 and 1084?

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 1066 and 1084 is 577772.

LCM(1066,1084) = 577772

LCM Calculator and
and

Least Common Multiple of 1066 and 1084 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1066 and 1084, than apply into the LCM equation.

GCF(1066,1084) = 2
LCM(1066,1084) = ( 1066 × 1084) / 2
LCM(1066,1084) = 1155544 / 2
LCM(1066,1084) = 577772

Least Common Multiple (LCM) of 1066 and 1084 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1066 and 1084. First we will calculate the prime factors of 1066 and 1084.

Prime Factorization of 1066

Prime factors of 1066 are 2, 13, 41. Prime factorization of 1066 in exponential form is:

1066 = 21 × 131 × 411

Prime Factorization of 1084

Prime factors of 1084 are 2, 271. Prime factorization of 1084 in exponential form is:

1084 = 22 × 2711

Now multiplying the highest exponent prime factors to calculate the LCM of 1066 and 1084.

LCM(1066,1084) = 22 × 131 × 411 × 2711
LCM(1066,1084) = 577772