What is the Least Common Multiple of 98691 and 98697?

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 98691 and 98697 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98691 and 98697, than apply into the LCM equation.

GCF(98691,98697) = 3
LCM(98691,98697) = ( 98691 × 98697) / 3
LCM(98691,98697) = 9740505627 / 3
LCM(98691,98697) = 3246835209

Least Common Multiple (LCM) of 98691 and 98697 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98691 and 98697. First we will calculate the prime factors of 98691 and 98697.

Prime Factorization of 98691

Prime Factorization of 98697

Now multiplying the highest exponent prime factors to calculate the LCM of 98691 and 98697.

LCM(98691,98697) = 3¹ × 67¹ × 491¹ × 167¹ × 197¹
LCM(98691,98697) = 3246835209