What is the Least Common Multiple of 53340 and 53344?

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 53340 and 53344 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53340 and 53344, than apply into the LCM equation.

GCF(53340,53344) = 4
LCM(53340,53344) = ( 53340 × 53344) / 4
LCM(53340,53344) = 2845368960 / 4
LCM(53340,53344) = 711342240

Least Common Multiple (LCM) of 53340 and 53344 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53340 and 53344. First we will calculate the prime factors of 53340 and 53344.

Prime Factorization of 53340

Prime Factorization of 53344

Now multiplying the highest exponent prime factors to calculate the LCM of 53340 and 53344.

LCM(53340,53344) = 2⁵ × 3¹ × 5¹ × 7¹ × 127¹ × 1667¹
LCM(53340,53344) = 711342240