What is the Least Common Multiple of 98002 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 98002 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 98002 and 98022, than apply into the LCM equation.

GCF(98002,98022) = 2
LCM(98002,98022) = ( 98002 × 98022) / 2
LCM(98002,98022) = 9606352044 / 2
LCM(98002,98022) = 4803176022

Least Common Multiple (LCM) of 98002 and 98022 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 98002 and 98022. First we will calculate the prime factors of 98002 and 98022.

Prime Factorization of 98002

Prime Factorization of 98022

Now multiplying the highest exponent prime factors to calculate the LCM of 98002 and 98022.

LCM(98002,98022) = 2¹ × 19¹ × 2579¹ × 3¹ × 17¹ × 31²
LCM(98002,98022) = 4803176022