What is the Least Common Multiple of 98782 and 98792?

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 98782 and 98792 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98782 and 98792, than apply into the LCM equation.

GCF(98782,98792) = 2
LCM(98782,98792) = ( 98782 × 98792) / 2
LCM(98782,98792) = 9758871344 / 2
LCM(98782,98792) = 4879435672

Least Common Multiple (LCM) of 98782 and 98792 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98782 and 98792. First we will calculate the prime factors of 98782 and 98792.

Prime Factorization of 98782

Prime Factorization of 98792

Now multiplying the highest exponent prime factors to calculate the LCM of 98782 and 98792.

LCM(98782,98792) = 2³ × 49391¹ × 53¹ × 233¹
LCM(98782,98792) = 4879435672