What is the Least Common Multiple of 98100 and 98109?

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 98100 and 98109 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98100 and 98109, than apply into the LCM equation.

GCF(98100,98109) = 9
LCM(98100,98109) = ( 98100 × 98109) / 9
LCM(98100,98109) = 9624492900 / 9
LCM(98100,98109) = 1069388100

Least Common Multiple (LCM) of 98100 and 98109 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98100 and 98109. First we will calculate the prime factors of 98100 and 98109.

Prime Factorization of 98100

Prime Factorization of 98109

Now multiplying the highest exponent prime factors to calculate the LCM of 98100 and 98109.

LCM(98100,98109) = 2² × 3² × 5² × 109¹ × 11¹ × 991¹
LCM(98100,98109) = 1069388100