What is the Least Common Multiple of 88769 and 88781?

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 88769 and 88781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 88769 and 88781, than apply into the LCM equation.

GCF(88769,88781) = 1
LCM(88769,88781) = ( 88769 × 88781) / 1
LCM(88769,88781) = 7881000589 / 1
LCM(88769,88781) = 7881000589

Least Common Multiple (LCM) of 88769 and 88781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 88769 and 88781. First we will calculate the prime factors of 88769 and 88781.

Prime Factorization of 88769

Prime Factorization of 88781

Now multiplying the highest exponent prime factors to calculate the LCM of 88769 and 88781.

LCM(88769,88781) = 29¹ × 3061¹ × 7¹ × 11¹ × 1153¹
LCM(88769,88781) = 7881000589