What is the Least Common Multiple of 1450 and 1466?

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 1450 and 1466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1450 and 1466, than apply into the LCM equation.

GCF(1450,1466) = 2
LCM(1450,1466) = ( 1450 × 1466) / 2
LCM(1450,1466) = 2125700 / 2
LCM(1450,1466) = 1062850

Least Common Multiple (LCM) of 1450 and 1466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1450 and 1466. First we will calculate the prime factors of 1450 and 1466.

Prime Factorization of 1450

Prime Factorization of 1466

Now multiplying the highest exponent prime factors to calculate the LCM of 1450 and 1466.

LCM(1450,1466) = 2¹ × 5² × 29¹ × 733¹
LCM(1450,1466) = 1062850