What is the Least Common Multiple of 87768 and 87781?

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 87768 and 87781 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87768 and 87781, than apply into the LCM equation.

GCF(87768,87781) = 1
LCM(87768,87781) = ( 87768 × 87781) / 1
LCM(87768,87781) = 7704362808 / 1
LCM(87768,87781) = 7704362808

Least Common Multiple (LCM) of 87768 and 87781 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87768 and 87781. First we will calculate the prime factors of 87768 and 87781.

Prime Factorization of 87768

Prime Factorization of 87781

Now multiplying the highest exponent prime factors to calculate the LCM of 87768 and 87781.

LCM(87768,87781) = 2³ × 3² × 23¹ × 53¹ × 41¹ × 2141¹
LCM(87768,87781) = 7704362808