What is the Least Common Multiple of 20982 and 21002?

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 20982 and 21002 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 20982 and 21002, than apply into the LCM equation.

GCF(20982,21002) = 2
LCM(20982,21002) = ( 20982 × 21002) / 2
LCM(20982,21002) = 440663964 / 2
LCM(20982,21002) = 220331982

Least Common Multiple (LCM) of 20982 and 21002 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 20982 and 21002. First we will calculate the prime factors of 20982 and 21002.

Prime Factorization of 20982

Prime Factorization of 21002

Now multiplying the highest exponent prime factors to calculate the LCM of 20982 and 21002.

LCM(20982,21002) = 2¹ × 3¹ × 13¹ × 269¹ × 10501¹
LCM(20982,21002) = 220331982