What is the Least Common Multiple of 1005 and 1021?

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 1005 and 1021 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1005 and 1021, than apply into the LCM equation.

GCF(1005,1021) = 1
LCM(1005,1021) = ( 1005 × 1021) / 1
LCM(1005,1021) = 1026105 / 1
LCM(1005,1021) = 1026105

Least Common Multiple (LCM) of 1005 and 1021 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1005 and 1021. First we will calculate the prime factors of 1005 and 1021.

Prime Factorization of 1005

Prime Factorization of 1021

Now multiplying the highest exponent prime factors to calculate the LCM of 1005 and 1021.

LCM(1005,1021) = 3¹ × 5¹ × 67¹ × 1021¹
LCM(1005,1021) = 1026105