What is the Least Common Multiple of 98005 and 98022?

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 98005 and 98022 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 98005 and 98022, than apply into the LCM equation.

GCF(98005,98022) = 17
LCM(98005,98022) = ( 98005 × 98022) / 17
LCM(98005,98022) = 9606646110 / 17
LCM(98005,98022) = 565096830

Least Common Multiple (LCM) of 98005 and 98022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98005 and 98022. First we will calculate the prime factors of 98005 and 98022.

Prime Factorization of 98005

Prime Factorization of 98022

Now multiplying the highest exponent prime factors to calculate the LCM of 98005 and 98022.

LCM(98005,98022) = 5¹ × 17¹ × 1153¹ × 2¹ × 3¹ × 31²
LCM(98005,98022) = 565096830