What is the Least Common Multiple of 98545 and 98556?

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 98545 and 98556 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98545 and 98556, than apply into the LCM equation.

GCF(98545,98556) = 1
LCM(98545,98556) = ( 98545 × 98556) / 1
LCM(98545,98556) = 9712201020 / 1
LCM(98545,98556) = 9712201020

Least Common Multiple (LCM) of 98545 and 98556 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98545 and 98556. First we will calculate the prime factors of 98545 and 98556.

Prime Factorization of 98545

Prime Factorization of 98556

Now multiplying the highest exponent prime factors to calculate the LCM of 98545 and 98556.

LCM(98545,98556) = 5¹ × 19709¹ × 2² × 3¹ × 43¹ × 191¹
LCM(98545,98556) = 9712201020