What is the Least Common Multiple of 98085 and 98100?

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 98085 and 98100 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98085 and 98100, than apply into the LCM equation.

GCF(98085,98100) = 15
LCM(98085,98100) = ( 98085 × 98100) / 15
LCM(98085,98100) = 9622138500 / 15
LCM(98085,98100) = 641475900

Least Common Multiple (LCM) of 98085 and 98100 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98085 and 98100. First we will calculate the prime factors of 98085 and 98100.

Prime Factorization of 98085

Prime Factorization of 98100

Now multiplying the highest exponent prime factors to calculate the LCM of 98085 and 98100.

LCM(98085,98100) = 3² × 5² × 13¹ × 503¹ × 2² × 109¹
LCM(98085,98100) = 641475900