What is the Least Common Multiple of 89782 and 89796?

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 89782 and 89796 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 89782 and 89796, than apply into the LCM equation.

GCF(89782,89796) = 14
LCM(89782,89796) = ( 89782 × 89796) / 14
LCM(89782,89796) = 8062064472 / 14
LCM(89782,89796) = 575861748

Least Common Multiple (LCM) of 89782 and 89796 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 89782 and 89796. First we will calculate the prime factors of 89782 and 89796.

Prime Factorization of 89782

Prime Factorization of 89796

Now multiplying the highest exponent prime factors to calculate the LCM of 89782 and 89796.

LCM(89782,89796) = 2² × 7¹ × 11² × 53¹ × 3¹ × 1069¹
LCM(89782,89796) = 575861748