What is the Least Common Multiple of 87483 and 87492?

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 87483 and 87492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 87483 and 87492, than apply into the LCM equation.

GCF(87483,87492) = 3
LCM(87483,87492) = ( 87483 × 87492) / 3
LCM(87483,87492) = 7654062636 / 3
LCM(87483,87492) = 2551354212

Least Common Multiple (LCM) of 87483 and 87492 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 87483 and 87492. First we will calculate the prime factors of 87483 and 87492.

Prime Factorization of 87483

Prime Factorization of 87492

Now multiplying the highest exponent prime factors to calculate the LCM of 87483 and 87492.

LCM(87483,87492) = 3¹ × 11² × 241¹ × 2² × 23¹ × 317¹
LCM(87483,87492) = 2551354212