What is the Least Common Multiple of 35448 and 35466?

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 35448 and 35466 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35448 and 35466, than apply into the LCM equation.

GCF(35448,35466) = 6
LCM(35448,35466) = ( 35448 × 35466) / 6
LCM(35448,35466) = 1257198768 / 6
LCM(35448,35466) = 209533128

Least Common Multiple (LCM) of 35448 and 35466 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35448 and 35466. First we will calculate the prime factors of 35448 and 35466.

Prime Factorization of 35448

Prime Factorization of 35466

Now multiplying the highest exponent prime factors to calculate the LCM of 35448 and 35466.

LCM(35448,35466) = 2³ × 3¹ × 7¹ × 211¹ × 23¹ × 257¹
LCM(35448,35466) = 209533128