What is the Least Common Multiple of 88502 and 88510?

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 88502 and 88510 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88502 and 88510, than apply into the LCM equation.

GCF(88502,88510) = 2
LCM(88502,88510) = ( 88502 × 88510) / 2
LCM(88502,88510) = 7833312020 / 2
LCM(88502,88510) = 3916656010

Least Common Multiple (LCM) of 88502 and 88510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88502 and 88510. First we will calculate the prime factors of 88502 and 88510.

Prime Factorization of 88502

Prime Factorization of 88510

Now multiplying the highest exponent prime factors to calculate the LCM of 88502 and 88510.

LCM(88502,88510) = 2¹ × 17¹ × 19¹ × 137¹ × 5¹ × 53¹ × 167¹
LCM(88502,88510) = 3916656010