What is the Least Common Multiple of 35450 and 35456?

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 35450 and 35456 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 35450 and 35456, than apply into the LCM equation.

GCF(35450,35456) = 2
LCM(35450,35456) = ( 35450 × 35456) / 2
LCM(35450,35456) = 1256915200 / 2
LCM(35450,35456) = 628457600

Least Common Multiple (LCM) of 35450 and 35456 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 35450 and 35456. First we will calculate the prime factors of 35450 and 35456.

Prime Factorization of 35450

Prime Factorization of 35456

Now multiplying the highest exponent prime factors to calculate the LCM of 35450 and 35456.

LCM(35450,35456) = 2⁷ × 5² × 709¹ × 277¹
LCM(35450,35456) = 628457600