What is the Least Common Multiple of 53505 and 53512?

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 53505 and 53512 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 53505 and 53512, than apply into the LCM equation.

GCF(53505,53512) = 1
LCM(53505,53512) = ( 53505 × 53512) / 1
LCM(53505,53512) = 2863159560 / 1
LCM(53505,53512) = 2863159560

Least Common Multiple (LCM) of 53505 and 53512 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53505 and 53512. First we will calculate the prime factors of 53505 and 53512.

Prime Factorization of 53505

Prime Factorization of 53512

Now multiplying the highest exponent prime factors to calculate the LCM of 53505 and 53512.

LCM(53505,53512) = 3² × 5¹ × 29¹ × 41¹ × 2³ × 6689¹
LCM(53505,53512) = 2863159560