What is the Least Common Multiple of 98791 and 98795?

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 98791 and 98795 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98791 and 98795, than apply into the LCM equation.

GCF(98791,98795) = 1
LCM(98791,98795) = ( 98791 × 98795) / 1
LCM(98791,98795) = 9760056845 / 1
LCM(98791,98795) = 9760056845

Least Common Multiple (LCM) of 98791 and 98795 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98791 and 98795. First we will calculate the prime factors of 98791 and 98795.

Prime Factorization of 98791

Prime Factorization of 98795

Now multiplying the highest exponent prime factors to calculate the LCM of 98791 and 98795.

LCM(98791,98795) = 7¹ × 11¹ × 1283¹ × 5¹ × 19759¹
LCM(98791,98795) = 9760056845