What is the Least Common Multiple of 98765 and 98782?

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 98765 and 98782 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98765 and 98782, than apply into the LCM equation.

GCF(98765,98782) = 1
LCM(98765,98782) = ( 98765 × 98782) / 1
LCM(98765,98782) = 9756204230 / 1
LCM(98765,98782) = 9756204230

Least Common Multiple (LCM) of 98765 and 98782 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98765 and 98782. First we will calculate the prime factors of 98765 and 98782.

Prime Factorization of 98765

Prime Factorization of 98782

Now multiplying the highest exponent prime factors to calculate the LCM of 98765 and 98782.

LCM(98765,98782) = 5¹ × 19753¹ × 2¹ × 49391¹
LCM(98765,98782) = 9756204230