What is the Least Common Multiple of 98697 and 98717?

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 98697 and 98717 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98697 and 98717, than apply into the LCM equation.

GCF(98697,98717) = 1
LCM(98697,98717) = ( 98697 × 98717) / 1
LCM(98697,98717) = 9743071749 / 1
LCM(98697,98717) = 9743071749

Least Common Multiple (LCM) of 98697 and 98717 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98697 and 98717. First we will calculate the prime factors of 98697 and 98717.

Prime Factorization of 98697

Prime Factorization of 98717

Now multiplying the highest exponent prime factors to calculate the LCM of 98697 and 98717.

LCM(98697,98717) = 3¹ × 167¹ × 197¹ × 98717¹
LCM(98697,98717) = 9743071749