What is the Least Common Multiple of 56505 and 56520?

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 56505 and 56520 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 56505 and 56520, than apply into the LCM equation.

GCF(56505,56520) = 15
LCM(56505,56520) = ( 56505 × 56520) / 15
LCM(56505,56520) = 3193662600 / 15
LCM(56505,56520) = 212910840

Least Common Multiple (LCM) of 56505 and 56520 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 56505 and 56520. First we will calculate the prime factors of 56505 and 56520.

Prime Factorization of 56505

Prime Factorization of 56520

Now multiplying the highest exponent prime factors to calculate the LCM of 56505 and 56520.

LCM(56505,56520) = 3² × 5¹ × 3767¹ × 2³ × 157¹
LCM(56505,56520) = 212910840