What is the Least Common Multiple of 53505 and 53520?

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 53520 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 53520, than apply into the LCM equation.

GCF(53505,53520) = 15
LCM(53505,53520) = ( 53505 × 53520) / 15
LCM(53505,53520) = 2863587600 / 15
LCM(53505,53520) = 190905840

Least Common Multiple (LCM) of 53505 and 53520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 53505 and 53520. First we will calculate the prime factors of 53505 and 53520.

Prime Factorization of 53505

Prime Factorization of 53520

Now multiplying the highest exponent prime factors to calculate the LCM of 53505 and 53520.

LCM(53505,53520) = 3² × 5¹ × 29¹ × 41¹ × 2⁴ × 223¹
LCM(53505,53520) = 190905840