What is the Least Common Multiple of 48523 and 48540?

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 48523 and 48540 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 48523 and 48540, than apply into the LCM equation.

GCF(48523,48540) = 1
LCM(48523,48540) = ( 48523 × 48540) / 1
LCM(48523,48540) = 2355306420 / 1
LCM(48523,48540) = 2355306420

Least Common Multiple (LCM) of 48523 and 48540 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 48523 and 48540. First we will calculate the prime factors of 48523 and 48540.

Prime Factorization of 48523

Prime Factorization of 48540

Now multiplying the highest exponent prime factors to calculate the LCM of 48523 and 48540.

LCM(48523,48540) = 48523¹ × 2² × 3¹ × 5¹ × 809¹
LCM(48523,48540) = 2355306420