What is the Least Common Multiple of 98101 and 98106?

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 98101 and 98106 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98101 and 98106, than apply into the LCM equation.

GCF(98101,98106) = 1
LCM(98101,98106) = ( 98101 × 98106) / 1
LCM(98101,98106) = 9624296706 / 1
LCM(98101,98106) = 9624296706

Least Common Multiple (LCM) of 98101 and 98106 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98101 and 98106. First we will calculate the prime factors of 98101 and 98106.

Prime Factorization of 98101

Prime Factorization of 98106

Now multiplying the highest exponent prime factors to calculate the LCM of 98101 and 98106.

LCM(98101,98106) = 98101¹ × 2¹ × 3¹ × 83¹ × 197¹
LCM(98101,98106) = 9624296706