GCF and LCM Calculator Logo

What is the Least Common Multiple of 1014 and 1018?

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 1014 and 1018 is 516126.

LCM(1014,1018) = 516126

LCM Calculator and
and

Least Common Multiple of 1014 and 1018 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1014 and 1018, than apply into the LCM equation.

GCF(1014,1018) = 2
LCM(1014,1018) = ( 1014 × 1018) / 2
LCM(1014,1018) = 1032252 / 2
LCM(1014,1018) = 516126

Least Common Multiple (LCM) of 1014 and 1018 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1014 and 1018. First we will calculate the prime factors of 1014 and 1018.

Prime Factorization of 1014

Prime factors of 1014 are 2, 3, 13. Prime factorization of 1014 in exponential form is:

1014 = 21 × 31 × 132

Prime Factorization of 1018

Prime factors of 1018 are 2, 509. Prime factorization of 1018 in exponential form is:

1018 = 21 × 5091

Now multiplying the highest exponent prime factors to calculate the LCM of 1014 and 1018.

LCM(1014,1018) = 21 × 31 × 132 × 5091
LCM(1014,1018) = 516126