What is the Least Common Multiple of 53568 and 53578?

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 53568 and 53578 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53568 and 53578, than apply into the LCM equation.

GCF(53568,53578) = 2
LCM(53568,53578) = ( 53568 × 53578) / 2
LCM(53568,53578) = 2870066304 / 2
LCM(53568,53578) = 1435033152

Least Common Multiple (LCM) of 53568 and 53578 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53568 and 53578. First we will calculate the prime factors of 53568 and 53578.

Prime Factorization of 53568

Prime Factorization of 53578

Now multiplying the highest exponent prime factors to calculate the LCM of 53568 and 53578.

LCM(53568,53578) = 2⁶ × 3³ × 31¹ × 7¹ × 43¹ × 89¹
LCM(53568,53578) = 1435033152