What is the Least Common Multiple of 53440 and 53450?

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 53440 and 53450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53440 and 53450, than apply into the LCM equation.

GCF(53440,53450) = 10
LCM(53440,53450) = ( 53440 × 53450) / 10
LCM(53440,53450) = 2856368000 / 10
LCM(53440,53450) = 285636800

Least Common Multiple (LCM) of 53440 and 53450 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53440 and 53450. First we will calculate the prime factors of 53440 and 53450.

Prime Factorization of 53440

Prime Factorization of 53450

Now multiplying the highest exponent prime factors to calculate the LCM of 53440 and 53450.

LCM(53440,53450) = 2⁶ × 5² × 167¹ × 1069¹
LCM(53440,53450) = 285636800