What is the Least Common Multiple of 88503 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 88503 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 88503 and 88510, than apply into the LCM equation.

GCF(88503,88510) = 1
LCM(88503,88510) = ( 88503 × 88510) / 1
LCM(88503,88510) = 7833400530 / 1
LCM(88503,88510) = 7833400530

Least Common Multiple (LCM) of 88503 and 88510 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88503 and 88510. First we will calculate the prime factors of 88503 and 88510.

Prime Factorization of 88503

Prime Factorization of 88510

Now multiplying the highest exponent prime factors to calculate the LCM of 88503 and 88510.

LCM(88503,88510) = 3¹ × 29501¹ × 2¹ × 5¹ × 53¹ × 167¹
LCM(88503,88510) = 7833400530