What is the Least Common Multiple of 81002 and 81020?

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 81002 and 81020 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 81002 and 81020, than apply into the LCM equation.

GCF(81002,81020) = 2
LCM(81002,81020) = ( 81002 × 81020) / 2
LCM(81002,81020) = 6562782040 / 2
LCM(81002,81020) = 3281391020

Least Common Multiple (LCM) of 81002 and 81020 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 81002 and 81020. First we will calculate the prime factors of 81002 and 81020.

Prime Factorization of 81002

Prime Factorization of 81020

Now multiplying the highest exponent prime factors to calculate the LCM of 81002 and 81020.

LCM(81002,81020) = 2² × 101¹ × 401¹ × 5¹ × 4051¹
LCM(81002,81020) = 3281391020