What is the Least Common Multiple of 98100 and 98114?

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 98114 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 98114, than apply into the LCM equation.

GCF(98100,98114) = 2
LCM(98100,98114) = ( 98100 × 98114) / 2
LCM(98100,98114) = 9624983400 / 2
LCM(98100,98114) = 4812491700

Least Common Multiple (LCM) of 98100 and 98114 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98100 and 98114. First we will calculate the prime factors of 98100 and 98114.

Prime Factorization of 98100

Prime Factorization of 98114

Now multiplying the highest exponent prime factors to calculate the LCM of 98100 and 98114.

LCM(98100,98114) = 2² × 3² × 5² × 109¹ × 49057¹
LCM(98100,98114) = 4812491700