What is the Least Common Multiple of 88510 and 88529?

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 88510 and 88529 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88510 and 88529, than apply into the LCM equation.

GCF(88510,88529) = 1
LCM(88510,88529) = ( 88510 × 88529) / 1
LCM(88510,88529) = 7835701790 / 1
LCM(88510,88529) = 7835701790

Least Common Multiple (LCM) of 88510 and 88529 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88510 and 88529. First we will calculate the prime factors of 88510 and 88529.

Prime Factorization of 88510

Prime Factorization of 88529

Now multiplying the highest exponent prime factors to calculate the LCM of 88510 and 88529.

LCM(88510,88529) = 2¹ × 5¹ × 53¹ × 167¹ × 7¹ × 12647¹
LCM(88510,88529) = 7835701790